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THEORY OF
PRODUCTION
AND COST
Unit 1
Theory
of
Production
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THEORY OF PRODUCTION AND COST
Learning Objectives
At the end of this unit, you will be able to :
(cid:2) know the meaning of production in Economics.
(cid:2) know about the various factors of production.
(cid:2) understand the difference between short run and long run.
(cid:2) have an insight into the laws of variable proportion and returns to scale.
(cid:2) understand economies and diseconomies of sale.
1.0 MEANING OF PRODUCTION
Production is a very important economic activity. The standard of living in the ultimate analysis,
depends on the volume and variety of goods and services produced in a country. In fact, the
performance of an economy is judged by the level of its production. Those countries which
produce goods in large quantities are rich and those which produce little of them are poor.
Thus, the amount of goods and services an economy is able to produce determines the richness
or poverty of that economy. The U.S.A. is a rich country just because its level of production is
high. India is not so because its level of production is not very high.
What exactly do we mean by production in Economics? In common parlance the term
‘production’ is used for an activity of making something material. The growing of wheat, rice
or any other agricultural crop by farmers and manufacturing of cloth, radio-sets, wool,
machinery or any other industrial product is often referred to as production. But in Economics
the word ‘production’ is used in a wider sense. In Economics, by production we mean the
process by which man utilises or converts the resources of nature, working upon them so as to
make them satisfy human wants. In other words, production is any economic activity which
is directed towards the satisfaction of the wants of the people by converting physical inputs
into the physical output. Whether it is the making of material goods or providing any service,
it is included in production provided it satisfies the wants of some people. So, in Economics, if
making of cloth by an industrial worker is production, the service of the retailer who delivers
it to consumers is also production. Similarly, the work of doctors, lawyers, teachers, actors,
dancers, etc. is production since the services are provided by them to satisfy the wants of those
who pay for them. The satisfying power of goods and services is called utility. Production can
also be defined as creation or addition of utility.
According to James Bates and J.R. Parkinson “ Production is the organized activity of
transforming resources into finished products in the form of goods and services; and the objective
of production is to satisfy the demand of such transformed resources”.
It should be noted that production should not be taken to mean as creation of matter because
according to the fundamental law of science man cannot create matter. What a man can do is
only to create or add utility. When a man produces a table, he does not create the matter of
which the wood is composed. He only transforms wood into a chair. By doing so he adds
utility to the goods.
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The money expense incurred in the process of production, i.e., transforming resources into
finished product constitutes the cost of production.
Production consists of various processes to add utility to natural resources for gaining greater
satisfaction from them by :
(i) Changing the form of natural resources. Most manufacturing processes consist of taking
raw material and transforming them into some items possessing utility, e.g., changing the
form of a log of wood into a table or changing the form of iron into a machine. This may
be called conferring utility of form.
(ii) Changing the place of the resources, from the place where they are of little or no use to
another place where they are of greater use. This utility of place can be obtained by :
(a) extraction from earth e.g., removal of coal, minerals, gold and other metal ores from
mines and supplying them to markets.
(b) transferring goods from where they give little or no satisfaction, to places where their
utility is more, e.g., tin in Malaya is of little use until it is brought to the industrialised
centres where necessary machinery and technology are available to produce metal
boxes for packing. Another example is : apples in Kashmir orchards have some use to
farmers. But when the apples are transported to markets where human settlements
are thick and crowded like the city centres, they afford more satisfaction to greater
number of people, rather than to the farmers in the Kashmir apple orchards.
These examples only emphasise the additional utility conferred on all goods, by all forms
of transportation systems, by transport workers and by the agents who assist in the
movement and marketing of goods.
(iii) Making available materials at times when they are not normally available e.g., harvested
foodgrains are stored for use till next harvest. Canning of seasonal fruits is undertaken to
make them available during off season. This may be called conferring of utility of time.
(iv) Making use of personal skills in the form of services, e.g., those of organisers, merchants,
transport workers etc.
The fundamental purpose of all these activities is same, namely to create utility in some manner.
So production is nothing but the creation of utilities in the form of goods and services. For
example, in the production of a woollen suit utility is created in some form or the other. Firstly
wool is changed into woollen cloth at the spinning and weaving mill (utility created by changing
the form). Then it is taken to a place where it is to be sold (utility added by transporting it).
Since woollen clothes are used in winter they will be retained until such time when they are
required by purchasers (time utility). In the whole process, services of various groups of people
are utilised (as that of mill workers, shopkeepers, agents etc.) to contribute to the enhancement
of utility. Thus the entire process of production is nothing but creation of form utility, place
utility, time utility and/or personal utility.
1.1 FACTORS OF PRODUCTION
The process of producing goods in the modern economy is very complex. A good has to pass
through many stages and many hands until it reaches the consumer’s hands in a finished
form. Land, labour, capital and entrepreneurial ability are all the factors or resources which
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make it possible to produce goods and services. Even a small piece of bread cannot be produced
without the active participation of these factors of production. While land is a free gift of
nature and refers to natural resources, the human endeavour is classified functionally and
qualitatively into three main components namely labour, capital and entrepreneurial skills.
We may discuss these factors of production briefly in the following paragraphs.
1.1.0 Land : The term ‘land’ is used in a special sense in Economics. It does not mean soil or
earth’s surface alone but refers to all free gifts of nature which would include besides the land,
in common parlance, natural resources, fertility of soil, water, air, natural vegetation etc. It
becomes difficult at times to state precisely to what part of a given factor is due solely to the gift
of nature and what part belongs to human effort made on it in the past. Therefore, as a
theoretical concept, we may list the following characteristics which would qualify a given
factor to be called land :
(i) Land is a free gift of nature. It is neither created nor destroyed by man.
(ii) Land is strictly limited in quantity. It is different from the other factors of production in
that, for practical purposes, it is permanently in being; no change in demand can affect
the amount of land in existence. In other words, the supply of land is perfectly inelastic
from the point of view of the economy. However, it is relatively elastic from the point of
view of a firm.
(iii) According to Ricardo, the production power of soil is indestructible in the sense that the
properties of the land cannot be destroyed. Even if its fertility gets depleted it can be
restored.
(iv) Land cannot be shifted from one place to another place. The natural factors typical to a
given place cannot be shifted to other places. It may, however be noted that man has been
able to shift water from one place to another e.g. Rajasthan Canal. Land can however, be
used for varied purposes though its suitability in all the uses is not the same.
(v) Land is said to be a specific factor of production in the sense that it does not yield any
result unless human efforts are employed. Land varies in fertility and uses.
1.1.1 Labour : The term ‘labour’, means mental or physical exertion directed to produce goods
or services. In other words, it refers to various types of human effort which require the use of
physical exertion, skill and intellect. It is, however, difficult to say that in any human effort all
the three are not required; the proportion of each might vary. Labour, to have an economic
significance, must be one which is done with the motive of some economic reward. Anything
done out of love and affection, although very useful in increasing human well-being, is not
labour in the economic sense of the term. It implies that any work done for the sake of pleasure
or love does not represent labour in Economics. It is for this reason that the services of a house-
wife are not treated as labour, while those of a maid servant are treated as labour. If a person
sings before his friends just for the sake of pleasure, it does not mean labour despite the exertion
involved in it. On the other hand, if a person sings against payment of some fee, then this
activity signifies labour.
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Characteristics of labour :
(1) Labour, as compared with other factors is different. It is connected with human efforts
whereas others are not directly connected with human efforts. As a result of this, there are
certain human and psychological considerations which may come up unlike in the case of
other factors.
(2) Labour is highly ‘perishable’ in the sense that a day’s labour lost cannot be completely
recovered because the expenditure on maintenance has to be there. Whatever is lost in a
day cannot be recovered wholly by extra work next day. In other words, a labourer cannot
store his labour and so he has no reserve price for his labour.
(3) Labour is inseparable from the labourer himself. It implies that whereas labour is sold, the
producer of labour retains the capacity to work. Thus, a labourer is the source of his own
labour power.
(4) Labour power differs from labourer to labourer. On the basis of labour power a labour
may be classified as unskilled labour, semi-skilled labour and skilled labour. Labour power
depends upon physical strength, education, skill and upon the motivation to work.
(5) All labour is not productive in the sense that all efforts are not sure to produce resources.
(6) Labour has a weak bargaining power. It is because the labourer is economically weak
while the employer is economically powerful although things have changed a lot in favour
of labour during the 20th century.
(7) A labourer has to make a choice between the hours of labour and the hours of leisure. The
supply of labour and wage rate are directly related. It implies that, as the wage rate increases
the labourer tends to increase the supply of labour by reducing the hours of leisure. However,
beyond a minimum level of income, the labourer reduces the supply of labour and increases
the hours of leisure in response to further rise in the wage rate. That is, he prefers to have
more of rest and leisure than earning more money.
(8) Labour is a mobile factor. Apparently, workers can move from one job to another or from
one place to another. But, in reality there are many obstacles in the way of free movement
of labour from job to job or from place to place.
1.1.2 Capital : We may define capital as that part of wealth of an individual or community
which is used for further production of wealth. In fact, capital is a stock concept which yields
a periodical income which is a flow concept. It is necessary to understand the difference between
capital and wealth. Whereas wealth refers to all those goods and human qualities which are
useful in production and which can be passed on for value, only a part of these goods and
services can be characterised as capital because if these resources are lying idle they will
constitute wealth but not capital. Capital has been rightly defined as ‘produced means of
production’. This definition distinguishes capital from both land and labour because both land
and labour are not produced factors. They are primary or original factors of production but
capital is not a primary or original factor; it is a produced factor of production. It has been
produced by man by working with nature. Therefore, capital may well be defined as man
made instruments of production. Machine tools and instruments, factories, dams, canals,
transport equipment etc., are some of the examples of capital. All of them are produced by
man to help in the production of further goods.
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Types of Capital:
Fixed capital is that which exists in a durable shape and renders a series of services over a
period of time. For example tools, machines, etc.
Circulating capital is another form of capital which performs its function in production in a
single use and not available for further use. For example, seeds, raw material, etc.
Real capital refers to physical goods such as building, plant, machines, etc.
Human capital refers to human skill and ability. This is called human capital because a good
deal of investment has gone into creation of these abilities in humans.
Tangible capital can be perceived by senses whereas intangible capital is in the form of certain
rights and benefits which cannot be perceived by senses. For example, goodwill, patent rights,
etc.
Individual capital is the personal property owned by an individual or a group of individuals.
Social Capital is what belongs to the society as a whole in the form of roads, bridges, etc.
Capital formation : Capital formation means a sustained increase in the stock of real capital in
a country. In other words, capital formation involves production of more capital goods like,
machines, tools, factories, transport equipment, electricity etc. which are all used for further
production of goods. Capital formation is also known as investment. The need for capital
formation or investment is realised not merely for replacement and renovation but for creating
additional productive capacity. In order to accumulate capital goods, some current consumption
is to be sacrified and savings of current income are to be made. Savings are also to be channelised
into productive investment. The greater the extent that people are willing to abstain from
present consumption the greater the extent of savings and investment that society will devote
to new capital formation. If society consumes all what it produces and saves nothing, future
productive capacity of the economy will fall as the present capital equipment wears out. In
other words, if the whole of the current present capacity is used to produce consumer goods
and no new capital goods are made, production of consumer goods in the future will greatly
decline. It is prudent to cut down some of the present consumption and direct part of it to the
making of capital goods such as tools and instruments, machines and transport facilities, plant
and equipment etc.. They will not only increase the efficacy of production efforts but also will
make possible the expansion of output of consumer goods in the future.
Stages of capital formation : There are mainly three stages of capital formation which are as
follows :
1. Savings : The basic factor on which formation of capital depends is the ability to save. The
ability to save depends upon the income of an individual. Higher incomes are generally
followed by higher savings. This is because with an increase in income the propensity to
consume comes down, and the propensity to save increases. This is true not only for an
individual but also for the economy as a whole. A rich country has greater ability to save
and thereby can get richer quickly compared to a poor country which has no ability to
save and therefore has limited capacity for growth in national income given the capital
output ratio.
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It is not only the ability to save but willingness to save which counts a great deal. Willingness
depends upon the individual’s concern about his future as well as upon the social set-up
in which he lives. If an individual is farsighted and wants to make his future secure he will
save more. Moreover, the government can enforce compulsory savings on the people by
imposing taxes. In recent years, business community’s savings and government’s savings
are also becoming important.
2. Mobilisation of savings : It is not enough that people save money; what is required is that
the saved money enters into circulation and facilitates the process by capital formation.
There should be a wide spread network of banking and other financial institutions to
collect public savings and take them to prospective investors. In this process, the state has
a very important and positive role to play both in generating saving through various
physical and monetary incentives and channelisation of the savings towards priority needs
of the community so that there is not only the capital generation but socially beneficial
type of capital formation.
3. Investment : The process of capital formation get completed only when the real savings
get converted into real capital assets. An economy should have a entrepreneurial class
which is prepared to bear the risk of business and invest savings in productive avenues so
as to create new capital assets.
1.1.3 Entrepreneur : Having explained three factors namely land, labour and capital, we now
turn to the explanation of the fourth important factor, namely, the entrepreneur. It is not
enough to say that production is a function of land, capital and labour. There must be some
factor which mobilises these factors, combines in the right proportion, then initiates the process
of production and bears the risk involved in it. This factor is known as the entrepreneur. He
has also been called the organiser, the manager or the risk taker. But in these days of
specialisation, the task of manager or organiser has become different from that of the
entrepreneur. While organisation and management involve decision-making of routine and
non-routine types, the task of the entrepreneur is to initiate production work and to bear the
risk involved in it.
Functions of an entrepreneur : An entrepreneur performs the following functions in
general :
(i) Initiating a business enterprise and resource co-ordination : The first and the foremost
function of an entrepreneur is to initiate a business enterprise. For this, he has to collect
different factors of production such as labour, capital, land or factory building and bring
about co-ordination among them. These various other factors of production are paid fixed
contractual remuneration : labour at fixed rate of wages, land or factory building at a
fixed rent for its use and capital at a fixed rate of interest. The surplus, if any, after all the
fixed costs and variable costs are met, accrues to the entreprenuer as his reward for his
efforts and risk-taking. Thus the reward for an entrepreneur, that is a profit, is not fixed.
He may earn profits, or incur losses. Other factors get their payment irrespective of whether
the entrepreneur makes profits or losses.
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(ii) Risk bearing or uncertainty bearing : The ultimate responsibility for the success and survival
of business lies with the entrepreneur. What is planned and anticipated by the entrepreneur
may not come true and the actual course of events may differ from what was anticipated
and planned. The economy is dynamic and changes occurr everyday. The demand for a
commodity, the cost structure, fashions and tastes of the people, and government’s policy
regarding taxation, credit, interest rate etc. may change. All these changes bring about
changes in the cost or demand conditions of a business firm. It may happen that as a
result of certain broad changes which were not anticipated by the entrepreneur the firm
has to incur heavy losses. Thus, the entrepreneur has to bear these financial risks. Apart
from financial risks, the entrepreneur also faces technological risks which arise due to the
inventions and improvement in techniques of production, making the existing techniques
and machines obsolete. The entrepreneur has to assess and bear the risks. These risks are
different from the risks like risks of fire, theft, burglary etc. which can be insured against.
These risks which cannot be insured are also called uncertainties and the entrepreneur
earns profits because he bears uncertainty in a dynamic economy where changes occur
everyday.
Innovations : One of the important functions of an entrepreneur is to introduce innovations.
Innovations in a very broad sense include the introduction of new or improved production
methods, utilisation of new or improved source of raw-material, adoption of new or
improved forms of organisation, introduction of a new or improved product, opening of
new or improved markets. According to Schumpeter, the task of the entrepreneur is to
continuously introduce new innovations.
1.2 PRODUCTION FUNCTION
Production function states the relationship between inputs and output i.e., the maximum
amount of output that can be produced with given quantities of inputs under a given state of
technical knowledge. It can also be defined as the minimum quantities of various inputs that
are required to yield a given quantity of output. The output takes the form of volume of goods
or services and the inputs are the different factors of production i.e., land, labour, capital and
enterprise.
Production Function:
In short, the production function is a catalogue of output possibilities. The production function
can be algebraically expressed in an equation in which the output is the dependent variable
and inputs are the independent variables. The equation can be expressed as:
q = f (a, b, c, d …….n)
where ‘q’ stands for the rate of output of given commodity a,b,c,d…….n, are different factors
(inputs) and services used per unit of time.
The production function of a firm can be studied in the context of short period or long period.
Short period or short run is that period of time which is too short for a firm to install a new
capital equipment to increase production. It implies capital is a fixed factor in the short run
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and the production function is studied by holding the quantities of capital fixed, while varying
the amount of other factors (labour, raw material etc.) Symbolically, Q = T (K, L). This is done
when the law of variable proportion is derived. The production function can also be studied in
the long run. The long run is a period of time (or planning horizon) in which all the factors of
production are variable. It is a time period when the firm will be able to install new machines
and capital equipments apart from increasing the units of labour. The behaviour of production
when all factors are varied is the subject matter of the laws of returns to scale.
Assumptions of Production Function:
The production function is based on the certain assumptions;
1. It is related to a particular unit of time.
2. The technical knowledge during that period of time remains constant.
3. The factors of production are divisible into most viable units.
4. The producer is using the best technique available.
Cobb-Douglas Production Function
A famous statistical production function is Cobb-Douglas production function. Paul H. Douglas
and C.W. Cobb of the U.S.A. studied the production function of the American manufacturing
industries. In its original form, this production function applies not to an individual firm but to
the whole of manufacturing in the United States. In this case, output is manufacturing
production and inputs used are labour and capital.
Cobb-Douglas production function
Q = KLa C (1-a)
where ‘Q’ is output, ‘L’ the quantity of labour and ‘C’ the quantity of capital. ‘K’ and ‘a’ are
positive constants.
The conclusion drawn from this famous statistical study is that labour contributed about 3/4th
and capital about 1/4th of the increase in the manufacturing production. The function is linear
and homogeneous. It shows constant returns to scale.
1.2.1 Law of variable proportions : Before discussing this law, if would be appropriate to
understand the meaning of total product, average product and marginal product.
Total Product (TP) : Total product is the total output resulting from the efforts of all the factors
of production combined together at any time. If the inputs of all but one factor are held constant,
total product will vary with the quantity used of the variable factor. Column (1) and (2) of
Table 1 represent a total product schedule.
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Table 1 : Product Schedule
Quantity of labour Total Product Average Product Marginal Product
(TP) (AP) (MP)
(1) (2) (3) (4)
1 100 100.0 100
2 210 105.0 110
3 330 110.0 120
4 430 107.5 100
5 520 104.0 90
6 600 100.0 80
7 670 95.7 70
8 720 90.0 50
9 750 83.3 30
10 760 76.0 10
11 740 67.2 –20
We find that when one unit of labour is employed, the total product is 100 units. When two
units of labour are employed, the total product rises to 210 units. The total product goes on
rising as more and more units of labour are employed. With 10 units of labour, the total product
rises to 760 units. When 11 units of labour are employed, total product falls to 740 units.
Average Product (AP) : Average product is the total product per unit of the variable factor. It is
shown as a schedule in column (3) of Table 1. When one unit of labour is employed, average
product is 100, when two units of labour are employed, average product rises to 105. This goes
on, as shown in Table 1.
Marginal Product (MP) : Marginal product is the change in total product per unit change in the
quantity of variable factor. In other words, it is the addition made to the total production by an
additional unit of input.
The computed value of the marginal product appears in the last column of Table 1. For example,
the MP corresponding to 4 units is given as 100 units. This reflects the fact that an increase in
labour from 3 to 4 units increased output from 330 to 430 units.
Relationship between Average Product and Marginal Product : Both average product and marginal
product are derived from the total product. Average product is obtained by dividing total
product by the units of variable factor and marginal product is the change in total product
resulting from a unit increase in the quantity of variable factor. The various points of relationship
between average product and marginal product can be summed up as follows :
(i) when average product rises as a result of an increase in the quantity of variable input,
marginal product is more than the average product.
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(ii) when average product is maximum, marginal product is equal to average product. In
other words, the marginal product curve cuts the average product curve at its maximum.
(iii) when average product falls as a result of a decrease in the quantity of variable input,
marginal product is less than the average product.
Table 1 and Figure 1 confirm the above points of relationship.
The law of variable proportions or the law of diminishing returns examines the production
function with one factor variable, keeping quantities of other factors fixed. In other words, it
refers to input-output relationship, when the output is increased by varying the quantity of
one input. This law operates in the short run ‘when all the factors of production cannot be
increased or decreased simultaneously (for example, we cannot build a plant or dismantle a
plant in the short run). The law operates under certain assumptions which are as follows :
1. The state of technology is assumed to be given and unchanged. If there is any improvement
in technology, then marginal and average product may rise instead of falling.
2. There must be some inputs whose quantity is kept fixed. This law does not apply to cases
when all factors are proportionately varied. When all the factors are proportionately varied,
laws of returns to scale are applicable.
3. The law does not apply to those cases where the factors must be used in fixed proportions
to yield product. When the various factors are required to be used in fixed proportions,
then an increase in one factor would not lead to any increase in output i.e., marginal
product of the variable factor will then be zero and not diminishing.
4. We consider only physical inputs and outputs and not economic profitability in monetary
terms.
The law states that as we increase the quantity of one input which is combined with other
fixed inputs, the marginal physical productivity of the variable input must eventually decline.
In other words, an increase in some inputs relative to other fixed inputs will, in a given state of
technology, cause output to increase; but after a point the extra output resulting from the same
addition of extra inputs will become less and less.
The behaviour of output when the varying quantity of one factor is combined with a fixed
quantity of the others can be divided into three distinct stages or laws. In order to understand
these three stages or laws, we may graphically illustrate the production function with one
factor variable. This is done in Figure 1.
In this figure the quantity of variable factor is depicted on the X axis and on the Y-axis is
measured the Total Product (TP), Average Product (AP) and Marginal Product (MP). As the
figure shows TP curve goes on increasing to a point and after that it starts declining. AP and
MP curves first rise and then decline; MP curve starts declining earlier than the AP curve.
The behaviour of these Total, Average and Marginal Products of the variable factor consequent
on the increase in its amount is generally divided into three stages (laws) which are explained
below.
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Fig. 1 : Law of variable proportions
Stage 1 : The Law of Increasing Returns : In this stage, total product increases at an increasing
rate upto a point (in figure upto point F), marginal product also rises and is maximum at the
point F and average product goes on rising. From point F onwards during the stage one, the
total product goes on rising but at a diminishing rate. Marginal product falls but is positive.
The stage 1 ends where the AP curve reaches its highest point.
Thus in the first stage the AP curve rises throughout whereas marginal product curve first rises
and then start falling after reaching its maximum. It is to be noted that the marginal product
although starts declining, remains greater than the average product throughout the stage so
that average product continues to rise.
Explanation of the law : The law of increasing returns operates because in the beginning the
quantity of fixed factors is abundant relative to the quantity of the variable factor. As more
units of variable factor are added to the constant quantity of the fixed factors then the fixed
factors is more intensively and effectively utilised i.e., the efficiency of the fixed factors increases
as additional units of the variable factors are added to it. This causes the production to increase
at a rapid rate. For example, if a machine can be efficiently operated when four persons are
working on it and if in the beginning we are operating it only with three persons, production
is bound to increase if the fourth person is also put to work on the machine since the machine
will be effectively utilised to its optimum. This happens because in the beginning some amount
of fixed factor remained unutilised and, therefore, when the variable factor is increased, fuller
utilisation of the fixed factor becomes possible and it results in increasing returns. A question
arises as to why the fixed factor is not initially taken in a quantity which suits the available
quantity of the variable factor. The answer is that generally those factors are taken as fixed
which are indivisible. Indivisibility of a factor means that due to technological requirements a
minimum amount of that factor must be employed whatever the level of output. Thus as more
units of the variable factor are employed to work with an indivisible fixed factor, output greatly
increases due to fuller utilisation of the latter. The second reason why we get increasing returns
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at the initial stage is that as more units of the variable factors are employed, the efficiency of
the variable factors itself increases. This is because with sufficient quantity of variable factor
introduction of division of labour and specialisation becomes possible which results in higher
productivity.
Stage 2 : Law of diminishing returns : In stage 2, total product continues to increase at a
diminishing rate until it reaches its maximum point H, where the second stage ends. In this
stage both marginal product and average product of the variable factor are diminishing but
are positive. At the end of this stage i.e., at point M (corresponding to the highest point H of the
total product curve), the marginal product of the variable factor is zero. Stage 2, is known as
the stage of diminishing returns because both the average and marginal products of the variable
factors continuously fall during this stage. This stage is very important because the firm will
seek to produce in its range.
Explanation of the law : The question arises as to why we do get diminishing returns after a
certain amount of the variable factor has been added to the fixed quantity of that factor. As
explained above increasing returns occur primarily because of the more efficient use of fixed
factors as more units of the variable factor are combined to work with it. Once the point is
reached at which the amount of variable factor is sufficient to ensure efficient utilisation of the
fixed factor, then further increases in the variable factor will cause marginal and average
product to decline because the fixed factor then becomes inadequate relative to the quantity of
the variable factor. Continuing the above example, when four men were put to work on one
machine, optimum combination was achieved. Now if the fifth person is put on the machine,
his contribution will be nil. In other words the marginal productivity will start diminishing.
The phenomenon of diminishing returns, like that of increasing returns rests upon the
indivisibility of the fixed factor. Just as the average product of the variable factor increases in
the first stage when better utilisation of the fixed indivisible factor is being made, so the average
product of the variable factor diminishes in the second stage when the fixed indivisible factor
is being worked too hard. Another reason offered for the operation of the law of diminishing
returns is the imperfect substitutability of one factor for one another. Had the perfect substitute
of the scarce fixed factor been available, then the paucity of the scarce fixed factor during the
second stage would have been made up by increasing the supply of its perfect substitute with
the result that output could be expanded without diminishing returns.
Stage 3 : Law of negative returns : In Stage 3, total product declines, MP is negative, average
product is diminishing. This stage is called the stage of negative returns since the marginal
product of the variable factor is negative during this stage.
Explanation the law : As the amount of the variable factor continues to be increased to constant
quantity of the other, a stage is reached when the total product declines and marginal product
become negative. This is due to the fact that the quantity of variable factor becomes too excessive
relative to the fixed factor so that they get in each other’s ways with a result that the total
output falls instead of rising. In such a situation a reduction in the units of the variable factor
will increase the total output.
Stage of operation : An important question is in which stage a rational producer will seek to
produce. A rational producer will never produce in stage 3 where marginal product of the
variable factor is negative. This being so a producer can always increase his output by reducing
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the amount of variable factor. Even if the variable factor is free of cost, the rational producer
stops before the beginning of third stage.
The rational producer will also not produce in stage 1 where the marginal product of the fixed
factor is negative. The producer producing in stage 1 will not be making best use of the fixed
factor and he will not be utilising fully the opportunities of increasing production by increasing
quantity of the variable factor whose average product continues to rise throughout stage 1.
Even if the fixed factor is free of cost in this stage, the rational entrepreneur will continue
adding more variable factors.
It is thus clear that a rational producer will never produce in stage 1 and stage 3. These stages
are called stages of economic absurdity or economic non-sense.
A rational producer will always produce in stage 2 where both the marginal product and
average product of the variable factors are diminishing. At which particular point in this stage,
the producer will decide to produce depends upon the prices of factors.
1.2.2 Returns to Scale : We shall now undertake the study of production in the long run. Or
we will study changes in output when all factors of production in a particular production
function are increased together. In other words, we shall study the behaviour of output in
response to a change in the scale. A change in the scale means that all factors of production are
increased or decreased in the same proportion. Changes in scale is different from changes in
factor proportions. Changes in output as a result of the variation in factor proportions, as seen
before, form the subject matter of the law of variable proportions. On the other hand, the
study of changes in output as a consequence of changes in scale forms the subject matter of
returns to scale which is discussed here.
Returns to scale may be constant, increasing or decreasing. If we increase all factors i.e., scale
in a given proportion and output increases in the same proportion, returns to scale are said to
be constant. Thus if a doubling or trebling of all factors causes a doubling or trebling of output,
returns to scale are constant. But if the increase in all factors leads to more than proportionate
increase in output, returns to scale are said to be increasing. Thus if all factors are doubled and
output increases more than a double then the returns to scale are said to be increasing. On the
other hand if the increase in all factors leads to less than a proportionate increase in output,
returns to scale are decreasing. It is needless to say that this law operates in the long run when
all the factors can be changed in some proportion simultaneously.
Constant returns to scale : As stated above, constant returns to scale means that with the increase
in the scale in some proportion, output increases in the same proportion. It has been found
that production function for the economy as a whole corresponds to production function
exhibiting constant returns to scale. Also, it has been found that an individual firm passes
through a long phase of constant returns to scale in its lifetime.
Constant return to scale is other wise called as “Linear Homogeneous Production Function”
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Fig. 2 : Linear Homogeneous Production Function
Increasing returns to scale : As stated earlier increasing returns to scale means that output increases
in a greater proportion than the increase in inputs. When a firm expands, increasing returns to
scale are obtained in the beginning. For example, a wooden box of 3 ft. cube contains 9 times
greater wood than the wooden box of 1 foot-cube. But capacity of the 3 foot- cube box is 27
times greater than that of one foot cube. Many such examples are found in real world. Another
reason for increasing returns to scale is the indivisibility of factors. Some factors are available
in large and lumpy units and can, therefore, be utilised with utmost efficiency at a large output.
If all the factors are perfectly divisible, increasing returns may not occur. Returns to scale may
also increase because of greater possibilities of specialisation of land and machinery.
Fig. 3 : Increasing Return to Scale
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Decreasing returns to scale : When output increases in a smaller proportion with an increase in
all inputs, decreasing returns to scale are said to prevail. When a firm goes on expanding by
increasing all inputs, then finally diminishing returns to scale set in. Decreasing returns to
scale eventually occur because of increasing difficulties of management, coordination and
control. When the firm has expanded to a very large size it is difficult to manage it with same
efficiency as previously.
Fig. 4 : Decreasing Return to Scale
1.3 ECONOMIES AND DISECONOMIES OF SCALE
The Scale of Production
In the modern days, the size of the business undertakings has greatly increased and production
on a large scale is a very important feature of modern industrial society. Large-scale production
offers certain advantages which help in reducing the cost of production. Economies arising
out of large-scale production can be grouped into two categories; viz., internal economies and
external economies. Internal economies are those economies of production which accrue to
the firm when it expands the output, so that the cost of production would cone down considerably
and place the firm in a better position to compete in the market effectively. Economies arise
purely due to endogenous factors relating to efficiency of the entrepreneur or his managerial
talents or the type of machinery used or the marketing strategy adopted. These economies
arise within the firm and help the firm only. On the other hand external economies are the
benefits accruing to each member firms of the industry as a result of the expansion of the
industry.
Internal Economies and Diseconomies : We saw that returns to scale increase in the initial
stages and after remaining constant for a while, they decrease. The question arises as to why
we get increasing returns to scale due to which cost falls and why after a certain point we get
decreasing returns to scale due to which cost rises. The answer is that initially a firm enjoys
internal economies of scale and beyond a certain limit it suffers from internal diseconomies of
scale. Internal economies and diseconomies are of following main kinds :
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(i) Technical economies and diseconomies : Large-scale production is associated with technical
economies. As the firm increases its scale of operations, it becomes possible to use more
specialised and efficient form of all factors, specially capital equipment and machinery.
For producing higher levels of output, there is generally available a more efficient machinery
which when employed to produce a large output yields a lower cost per unit of output.
Secondly, when the scale of production is increased and the amount of labour and other
factors become larger, introduction of a greater degree of division of labour or specialisation
becomes possible and as a result cost per unit declines.
However, beyond a certain point a firm experiences net diseconomies of scale. This happens
because when the firm has reached a size large enough to allow utilisation of almost all
the possibilities of division of labour and the employment of more efficient machinery,
further increase in the size of the plant will bring high long-run cost because of difficulties
of management. When the scale of operations becomes too large, it becomes difficult for
the management to exercise control and to bring about proper coordination.
(ii) Managerial economies and diseconomies : Managerial economies refer to reduction in
managerial cost. When output increases, division of labour can be applied to management.
The production manager can look after production, sales manager can look after sales,
finance manager can look after finance department. If scale of production increases further,
each department can be further sub-divided for e.g. sales can be split into sections for
advertising exports and customer service.
Since individual activities come under the supervision of specialists, management’s
efficiency and productivity greatly improve. Decentralisation of decision making authority
also becomes possible in such a firm which enhances further the efficiency and productivity
of managers. Thus specialisation of management enables large firms to achieve reduction
in managerial costs.
However, as scale of production increases beyond a certain limit, managerial diseconomies
set in. Management finds it difficult to exercise control and bring coordination among
various departments. The managerial structure becomes more complex and is affected by
more bureaucracy, more red tape, lengthening of communication lines and so on. All these
affect the efficiency and productivity of management and the firm itself.
(iii) Commercial economies and diseconomies : Production of big volumes of goods requires
large amount of material and components. This enables the firm to place a bulk order for
materials and components and enjoy lower prices for them. Economies can also be achieved
in selling the product. If the sales staff is not being worked to capacity, additional output
can be sold at little extra cost. Moreover, large firms can benefit from economies of
advertising. As scale of production increases, advertising costs per unit of output fall. In
addition, a large firm may also be able to sell its by-products-something which might be
unprofitable for a small firm.
These economies become diseconomies after an optimum scale. For example, advertisement
expenditure and other marketing overheads will increase more than proportionately after
the optimum scale.
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(iv) Financial economies and diseconomies : In raising finance for expansion large firm is in
favourable position. It can, for instance, offer better security to bankers and, because it is
well-known, raise money at lower cost, since investors have confidence in it and prefer
shares which can be readily sold on the stock exchange.
However, these financial costs will rise more proportionately after the optimum scale of
production. This may happen because of relatively more dependence on external finances.
(v) Risk bearing economies and diseconomies : It is said that a large business with diverse and
multi-production capability is in a better position to withstand economic ups and downs,
and therefore, enjoys economies of risk bearing.
However, risk may increase if diversification instead of giving a cover to economic
disturbances, increases these.
External Economies and Diseconomies : The use of greater degree of division of labour and
specialised machinery at higher levels of output are termed as internal economies. They are
internal in the sense that they accrue to the firm due to its own efforts. Besides internal economies,
there are external economies which are very important for a firm. External economies and
diseconomies are those economies and diseconomies which accrue to firms as a result of
expansion in the output of whole industry and they are not dependent on the output level of
individual firms. They are external in the sense they accrue to firms not out of their internal
situation but from outside i.e. expansion of the industry. These are available to one or more of
the firms in the form of :
1. Cheaper raw materials and capital equipment : The expansion of an industry may result
in exploration of new and cheaper sources of raw material, machinery and other types of
capital equipment. Expansion of an industry results in greater demand for the various
kinds of materials and capital equipment required by it. This makes it possible to purchase
on a large scale from other industries. This reduces their cost of production and hence
their prices. Thus, firms using these materials and capital equipment will be able to get
them at a lower price.
2. Technological external economies : When the whole industry expands, it may result in
the discovery of new technical knowledge and in accordance with that the use of improved
and better machinery than before. This will change the technical co-efficient of production
and will enhance productivity of firms in the industry and reduce their cost of production.
3. Development of skilled labour : When an industry expands in an area the labour in that
area is well accustomed to do the various productive processes and learns a good deal
from the experience. As a result, with the growth of an industry in an area a pool of
trained labour is developed which has a favourable effect on the level of productivity and
cost of the firms in that industry.
4. Growth of ancillary industries : With the growth of an industry, a number of ancillary
industries may specialise in production of raw materials, tools and machinery etc. They
can provide them at a lower price to the main industry. Likewise, some firms may get
developed processing the waste products of the industry and making out some useful
product out of it. This will tend to reduce the cost of production in general.
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5. Better transportation and marketing facilities : The expansion of an industry resulting
from entry of new firms may make possible the development of transportation and
marketing network to a great extent which will greatly reduce cost of production of the
firms. Similarly, communication system may get modernised resulting in better and speedy
information.
However, external economies may also cease if there are certain disadvantages which may
neutralise the advantages of the expansion of an industry. We call them external diseconomies.
An example of external diseconomies is the rise in some factor prices. When an industry
expands, the requirement of the various factors of production increases; for example, that of
all raw materials, capital goods, skilled labour and so on. This may result in pushing up the
prices of such factors of production specially when they are short in supply. Moreover, too
many firms in an industry at one place may also result in higher transportation cost, marketing
cost and high pollution control cost. The government may also through its locational policy
prohibit or restrict expansion of an industry at a particular place.
SUMMARY
Production means creation or addition of utility. Production does not include domestic work,
voluntary services, leisure time activities etc. For the production process to work, there must
exist factors with which to produce goods and services. Factors of production are classified as
land, labour, capital and entrepreneur. Land includes all those natural resources whose supply
for the economy as a whole is fixed. Labour is any mental or physical exertion directed to
produce goods or services. Capital is a produced means of production and it comprises man-
made machines and materials which are used for further production. Entrepreneur is the
person who bears the risk and uncertainties of business.
Factors of production can be divided into two categories - fixed factors and variable factors.
Fixed factors are those factors whose quantity remains unchanged in the short run. Variable
factors change with a change in the level of output. The production level can be changed by
changing the factor proportions in which variable factors are used. The production-scale can
be changed by changing all factors together. When some factors are kept fixed and others are
varied, the law of variable proportions (or law of diminishing returns) is applicable. The law
states that as increased quantities of one factor are combined with other fixed factors, marginal
physical productivity of the variable input must eventually decline. The law of variable
proportions is applicable in the short-run. In the long-run, all factors are variable and thus
they can be varied easily. When this is done, we may have increasing, constant or diminishing
returns to scale. Returns to scale occur due to economies of scale. Economies of scale are of two
kinds - external economies of scale and internal economies of scale. External economies of
scale accrue to a firm due to factors which are external to it and internal economies of scale
accrue to a firm when it engages in large scale production. Increase in scale, beyond the optimum
level, results in diseconomies of scale.
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CCCCCHHHHHAAAAAPPPPPTTTTTEEEEERRRRR ––––– 33333
THEORY OF
PRODUCTION
AND COST
Unit 2
Theory
of
Cost
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Learning Objectives
At the end of this unit, you will be able to :
(cid:2) understand the meaning of cost and various concepts of cost.
(cid:2) understand cost function in the short run and in the long run.
2.0 COST ANALYSIS
Cost analysis refers to the study of behaviour of cost in relation to one or more production
criteria, namely, size of output, scale of operations, prices of factors of production and other
relevant economic variables. In other words, cost analysis is concerned with financial aspects
of production relations as against physical aspects which were considered in production
analysis. In order to have a clear understanding of the cost function it is important to understand
various concepts of costs.
2.1 COST CONCEPTS
Accounting costs and economic costs : When an entrepreneur undertakes an act of production
he has to pay prices for the factors which he employs for production. He thus pays, wages to
workers employed, prices for the raw materials, fuel and power used, rent for the building he
hires, and interest on the money borrowed for doing business. All these are included in his cost
of production and are termed as accounting costs. Thus accounting costs take care of all the
payments and charges made by the entrepreneur to the suppliers of various productive factors.
But it generally happens that an entrepreneur invests a certain amount of capital in his business.
If the capital invested by the entrepreneur in his business had been invested elsewhere it would
have earned certain amount of interest or dividend. Moreover, an entrepreneur devotes time
to his own work of production and contributes his entrepreneurial and managerial ability to
do business. Had he not set up his own business he would have sold his services to others for
some positive amount of money. Accounting costs do not include these costs. These costs form
a part of the economic cost. Thus economic costs include : (1) the normal return on money
capital invested by the entrepreneur himself in his own business; (2) the wages or salary not
paid to the entrepreneur but could have been earned if the services had been sold somewhere
else. Likewise the monetary reward for all factors owned by the entrepreneur himself and
employed by him in his own business are also considered a part of economic costs. Thus,
accounting costs relate to those costs only which involve cash payments by the entrepreneur of
the firm. Economic costs take into account these accounting costs but in addition, they also
takes into account the amount of money the entrepreneur could have earned if he had invested
his money and sold his own services and other factors in the next best alternative uses.
Accounting costs are also called explicit costs whereas the cost of factors owned by the
entrepreneur himself and employed in his own business are called implicit costs. Thus economic
costs include both accounting costs and implicit costs. The concept of economic cost is important
because an entrepreneur must cover his economic cost if he wants to earn normal profits and
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abnormal profits are over and above these normal profits. In other words, an entrepreneur is
said to be earning profits (abnormal) only when his revenues are able to cover not only his
explicit costs but also implicit costs.
Outlay costs and opportunity costs : Outlay costs involve actual expenditure of funds on, say,
wages, material, rent, interest, etc. Opportunity cost, on the other hand, is concerned with the
cost of foregone opportunity; it involves a comparison between the policy that was chosen and
the policy that was rejected. For example, opportunity cost of using capital is the interest that
it can earn in the next best use of equal risk.
A distinction between outlay costs and opportunity costs can be drawn on the basis of the
nature of the sacrifice. Outlay costs involve financial expenditure at some time and hence are
recorded in the books of account. Opportunity costs relate to sacrificed alternatives; they are
not recorded in the books of account in general.
The opportunity cost concept is generally very useful, e.g., in a cloth mill which spins its own
yarn, the opportunity cost of yarn to the weaving department is the price at which the yarn
could be sold, for measuring profitability of the weaving operations.
In long-term cost calculation also it is useful e.g., in calculating the cost of higher education, it
is not the tuition fee and books but the earning foregone that should be taken into account.
Direct or traceable costs and indirect or non-traceable costs; Direct costs are costs that are
readily identified and are traceable to a particular product, operation or plant. Even overhead
can be direct as to a department; manufacturing costs can be direct to a product line, sales
territory, customer class etc. We must know the purpose of cost calculation before considering
whether a cost is direct or indirect.
Indirect costs are not readily identified nor visibly traceable to specific goods, services, operations,
etc. but are nevertheless charged to the jobs or products in standard accounting practice. The
economic importance of these costs is that these, even though not directly traceable to the
product, may bear some functional relationship to production and may vary with output in
some definite way. Examples of such costs are electric power, the common costs incurred for
general operation of business benefiting all products jointly.
Fixed and variable costs : Fixed or constant costs are not a function of output; they do not
vary with output upto a certain level of activity. These costs require a fixed expenditure of
funds irrespective of the level of output, e.g., rent, property taxes, interest on loans, depreciation
when taken as a function of time and not of output. However, these costs also vary with the
size of the plant and are a function of capacity. Therefore, fixed costs do not vary with the
volume of output within a capacity level.
Fixed costs cannot be avoided. These costs are fixed so long as operations are going on. They
can be avoided only when operations are completely closed down. We can call them as
inescapable or uncontrollable costs. But there are some costs which will continue even after
operations are suspended, as for example, the storing of old machines which cannot be sold in
the market. Some of the fixed costs such as advertising, etc. are programmed fixed costs or
discretionary expenses, because they depend upon the discretion of management whether to
spend on these services or not.
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Variable costs are costs that are a function of output in the production period. For example,
wages and cost of raw materials are variable costs. Variable costs vary directly and sometimes
proportionately with output. Over certain ranges of production they may vary less or more
than proportionately depending on the utilization of fixed facilities and resources during
production process.
2.2 COST FUNCTION
The cost function refers to the mathematical relation between cost of a product and the various
determinants of costs. In cost function, the dependent variable is unit cost or total cost and the
independent variables are the price of a factor, the size of the output or any other relevant
phenomenon which has a bearing on cost such as technology, level of capacity utilization,
efficiency and time period under consideration.
2.3 SHORT RUN TOTAL COSTS
Total, fixed and variable costs : There are some factors which can be easily adjusted with
changes in the level of output. Thus a firm can readily employ more workers if it has to increase
output. Similarly, it can purchase more raw material if it has to expand production. Such
factors which can be easily varied with a change in the level of output are called variable
factors. On the other hand, there are factors such as building, capital equipment, or top
management team which cannot be so easily varied. It requires comparatively longer time to
make changes in them. It takes time to install a new machinery. Similarly, it takes time to build
a new factory. Such factors which cannot be readily varied and require a longer period to
adjust are called fixed factors. Corresponding to the distinction between variable and fixed
factors we distinguish between short run and long run periods of time. Short run is a period of
time in which output can be increased or decreased by changing only the amount of variable
factors, such as labour, raw material, etc. In the short run, quantities of fixed factors cannot be
varied in accordance with changes in output. If the firm wants to increase output in the short
run, it can do so only with the help of variable factors, i.e., by using more labour and/or by
buying more raw material. Thus, short run is a period of time in which only variable factors
can be varied, while the quantities of fixed factors remain unaltered. On the other hand, long
run is a period of time in which the quantities of all factors may be varied. Thus all factors
become variable in the long run.
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y
Total
FC
Fixed
Cost
O X
OutPut
Fig. 5 : Completely Fixed Cost
Y
VC
Total
Variable
Cost
O X
Output
Fig. 6 : Completely Variable Cost
Thus we find that fixed costs are those costs which are independent of output, i.e., they do not
change with changes in output. These costs are a “fixed amount” which are incurred by a firm
in the short run, whether the output is small or large. Even if the firm closes down for some
time in the short run but remains in business, these costs have to be borne by it. Fixed costs
include such charges as contractual rent, insurance fee, maintenance cost, property taxes,
interest on capital employed, manager’s salary, watchman’s wages etc. Variable costs on the
other hand are those costs which change with changes in output. These costs include payments
such as wages of labour employed, prices of raw material, fuel and power used, transportation
cost etc. If a firm shuts down for a short period, then it may not use variable factors of production
and will not therefore incur any variable cost.
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Y
TC
Variable Cost of
Production
Total
Semi-
Variable
Cost
O X
Output
Fig. 7 : Semi Variable Cost
There are some costs which are neither perfectly variable, nor absolutely fixed in relation to the
changes in the size of output. They are known as semi-variable costs. Example: Electricity
charges include both a fixed charge and a charge based on consumption.
Y
VC
4
Total 3
Variable
Cost 2
1
O Output X
Fig. 8 : A Stair-step Variable Cost
There are some costs which may increase in a stair-step fashion, i.e., they remain fixed over
certain range of output; but suddenly jump to a new higher level when output goes beyond a
given limit. Eg. Fixed salary of Foreman will have a sudden jump if another foreman is appointed
when the output crosses a limit.
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Fig. 9 : Short run Total Cost Curves
Total cost of a business is thus the sum of total variable cost and total fixed cost or symbolically
TC = TFC + TVC. We may also represent total cost, total variable cost and fixed cost
diagramatically.
In the diagram, total fixed cost curve (TFC) is parallel to X-axis. This curve starts from the
point on the Y-axis meaning thereby that fixed cost will be incurred even if the output is zero.
On the other hand total variable cost curve rises upward showing thereby that as output
increases, total variable cost also increases. This curve starts from the origin which shows that
when the output is zero, variable costs are also nil. The total cost curve has been obtained by
adding vertically total fixed cost curve and total variable cost curve. AFC =
Short run average cost
Average fixed cost (AFC) : AFC is the total fixed cost divided by the number of units of output
produced. i.e. where Q is the number of units produced. Thus average fixed cost is
the fixed cost per unit of output. For example, a firm is producing with total fixed cost at
Rs. 2,000/-. When output is 100 units, average fixed cost will be Rs. 20. And now if the output
increases to 200 units, average fixed cost will be Rs. 10. Since total fixed cost is a constant
amount, average fixed cost will steadily fall as output increases. Therefore, if we draw average
fixed cost curve, it will slope downwards throughout its length but not touch the X-axis as
AFC can not be zero. (Fig. 10)
Average variable cost (AVC) : Average variable cost is the total variable cost divided by the
TVC
number of units of output produced, i.e.
AVC=
where Q is the number of units produced.
Q
Thus average variable cost is variable cost per unit of output. Average variable cost normally
falls as output increases from zero to normal capacity output due to occurrence of increasing
returns. But beyond the normal capacity output, average variable cost will rise steeply because
of the operation of diminishing returns (the concepts of increasing returns and diminishing
returns have already been discussed earlier). If we draw average variable cost curve it will first
fall, then reach a minimum and then rise again. (Fig. 10)
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Fig. 10 : Short run Average and Marginal Cost Curves
Average total cost (ATC) : Average total cost is a sum of average variable cost and average
fixed cost. i.e., ATC = AFC + AVC. It is the total cost divided by the number of units produced.
The behaviour of average total cost curve depends upon the behaviour of average variable cost
curve and average fixed cost curve. In the beginning both AVC and AFC curves fall, therefore,
the ATC curve will also fall sharply in the beginning. When AVC curve begins to rise, but AFC
curve still falls steeply, ATC curve continues to fall. This is because during this stage the fall in
AFC curve is greater than the rise in the AVC curve but as output increases further, there is a
sharp rise in AVC which more than offsets the fall in AFC. Therefore, ATC curve first falls,
reaches its minimum and then rises. Thus, the average total cost curve is “U” shape curve.
(Fig. 10)
Marginal Cost : Marginal cost is the addition made to the total cost by production of an
additional unit of output. In other words, it is the total cost of producing t units instead of t-1
units, where t is any given number. For example, if we are producing 5 units at a cost of
Rs. 200 and now suppose 6th unit is produced and the total cost is Rs. 250, marginal cost is
Rs. 250 - 200 i.e., Rs. 50. It is to be noted that marginal cost is independent of fixed cost. This is
because fixed costs do not change with output. It is only the variable costs which change with
a change in the level of output in the short run. Therefore, marginal cost is in fact due to the
changes in variable costs. Symbolically margical cost can be written as :
(cid:2)
TC
MC = (cid:2)
Q
(cid:2)
= Change in
TC = Total cost
Q = Output
or
MC = TC - TC
n n n-1
Marginal cost curve falls as output increases in the beginning. It starts rising after a certain
level of output. This happens because of the influence of the law of variable proportions. The
fact that marginal product rises first, reaches a maximum and then declines ensures that the
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marginal cost curve of a firm declines first, reaches its minimum and then rises. In other words
marginal cost curve of a firm is “U” shaped (see Figure 10).
The behaviour of these costs has also been shown in Table 2.
Table 2 : Various Costs
Units of Total fixed Total Total Average Average Average Marginal
output cost variable cost fixed variable total cost
cost cost cost cost per unit
0 150 0 150 – – – –
50
=
6 150 50 200 25.0 8.33 33.33 8.33
6
50
=
16 150 100 250 9.38 6.25 15.63 5.00
10
50
=
29 150 150 300 5.17 5.17 10.34 3.85
13
50
=
44 150 200 350 3.41 4.55 7.95 3.33
15
50
=
55 150 250 400 2.73 4.55 7.27 4.55
11
50
=
60 150 300 450 2.50 5.00 7.50 10.00
5
The above table shows that :
(i) Fixed cost does not change with increase in output upto a given range. Average fixed cost,
therefore, comes down with every increase in output.
(ii) Variable cost increases but not necessarily in the same proportion as the increase in output.
In the above case, average variable cost comes down gradually till 55 units are produced.
(iii) Marginal cost is the additional cost divided by addition units produced. This also comes
gradually till 44 units are produced.
Relationship between Average Cost and Marginal Cost : The relationship between marginal
cost and average cost is the same as that between any other marginal average quantities. The
following are the points of relationship between the two phenomena.
(1) When average cost falls as a result of an increase in output, marginal cost is less than
average cost.
(2) When average cost rises as a result of an increase in output, marginal cost is more than
average cost.
(3) When average cost is minimum, marginal cost is equal to the average cost. In other words,
marginal cost curve cuts average cost curve at its minimum point (i.e. optimum point).
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Figure 10 and Table 2 confirm the above points of relationship.
2.4 LONG RUN AVERAGE COST CURVE
As stated above long run is a period of time during which the firm can vary all of its inputs -
unlike short run in which some inputs are fixed and others are variable. In other words, whereas
in the short run the firm is tied with a given plant, in the long run the firm moves from one
plant to another; it can acquire a big plant if it wants to increase its output and a small plant if
it wants to reduce its output. Long run cost of production is the least possible cost of producing
any given level of output when all individual factors are variable. A long run cost curve depicts
the functional relationship between output and the long run cost of production.
In order to understand how long run average cost curve is derived we consider three short run
average cost curves as shown in Figure 11. These short run cost curves (SACs) are also called
plant curves. In the short run the firm can be operating on any short run average cost curve
given the size of the plant. Suppose that these are the only three plants which are technically
possible. Given the size of the plant, the firm will be increasing or decreasing its output by
changing the amount of the variable inputs. But in the long run, the firm chooses among the
three possible sizes of plants as depicted by short run average curve (SAC , SAC , SAC ). In
1 2 3
the long run, the firm will examine with which size of plants or on which short average cost
curve it should operate to produce a given level of output so that total cost is minimum. It will
be seen from the diagram that upto OB amount of output the firm will operate on the SAC ,
1
though it could also produce with SAC , because upto OB amount of output, the production
2
on SAC results in lower cost than on SAC . For example, if the level of output OA is produced
1 2
with SAC , it will cost AL per unit and if it is produced with SAC it will cost AH and we can
1 2
see that AH is more than AL. Similarly, if the firm plans to produce an output which is larger
than OB but less than OD then it will not be economical to produce on SAC . For this, the firm
1
will have to use SAC . Similarly, the firm will use SAC for output larger than OD. It is thus
2 3
clear that in the long run the firm has a choice in the employment of plant and it will employ
that plant which yields minimum possible unit cost for producing a given output.
Fig. 11 : Short run Average Cost Curves Fig. 12 : Long run Average Cost Curves
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Suppose now, the firm has a choice so that a plant can be varied by infinitely small gradations
so that there are infinite number of plants corresponding to which there numerous average
cost curves. In such a case the long run average cost curve will be a smooth curve enveloping
all these short run average cost curves.
As shown in Figure 12 the long run average cost curve is so drawn as to be tangent to each of
the short run average cost curves. Every point on the long run average cost curve will be a
tangency point with some short run AC curve. If a firm desires to produce any particular
output it then builds a corresponding plant and operate on the corresponding short run average
cost curve. As shown in the figure, for producing OM the corresponding point on the LAC
curve is G and the short run average cost curve SAC is tangent to the long run AC at this
2
point. Thus if a firm desires to produce output OM, the firm will construct a plant corresponding
to SAC and will operate on this curve at point G. Similarly, the firm will produce other levels
2
of output choosing the plant which suits its requirements of lowest possible cost of production.
It is clear from the figure that the large output can be produced at the lowest cost with the
larger plant whereas smaller output can be produced at the lowest cost with smaller plants.
For example, to produce OM, the firm will be using SAC only; if it uses SAC for this, it will
2 3
result in higher unit cost than SAC . But larger output OV can be produced most economically
2
with a larger plant represented by the SAC . If we produce OV with the smaller plant it will
3
result in higher unit similarly if we produce larger output with a smaller plant it will involve
higher cost because of its limited capacity.
It is to be noted that LAC curve is not a tangent to the minimum points of the SAC curves.
When the LAC curve is declining it is tangent to the falling portions of the short run cost
curves and when the LAC curve is rising it is tangent to the rising portions of the short run cost
curves. Thus for producing output less than “OQ” at the lowest possible unit cost the firm will
construct the relevant plant and operate it at less than its full capacity, i.e., at less than its
minimum average cost of production. On the other hand for output larger than OQ the firm
will construct a plant and operate it beyond its optimum capacity. “OQ” is the optimum output.
This is because “OQ” is being produced at the minimum point of LAC and corresponding
SAC i.e., SAC . Other plants are either used at less than their full capacity or more than their
4
full capacity. Only SAC is being operated at the minimum point.
4
Long run average cost curve is often called a planning curve because a firm plans to produce
any output in the long run by choosing a plant on the long run average cost curve corresponding
to the given output. The long run average cost curve helps the firm in the choice of the size of
the plant for producing a specific output at the least possible cost.
Explanation of the “U” shape of the long run average cost curve : As has been seen in the
diagram LAC curve is a “U” shape curve. This shape of LAC curve depends upon the returns to
scale. As discussed earlier, as the firm expands, returns to scale increase. After a range of constant
returns to scale, the returns to scale finally decrease. On the same line, the LAC curve first declines
and then finally rises. Increasing returns to scale cause fall in the long run average cost and
decreasing returns to scale result in increase in long run average cost. Falling long run average
cost and increasing economies to scale result from internal and external economies of scale and
rising long run average cost and diminishing returns to scale from internal and external
diseconomies of scale (economies of scale have been discussed earlier at the relevant place).
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The long run average cost curve initially falls with increase in output and after a certain point
it rises making a boat shape. Long-run Average cost (LAC) curve is also called the planning
curve of the firm as it helps in choosing a plant on the decided level of output. The long-run
avearge cost curve is called Envelope curve, because it envelopes or supports a family of short
run average cost curves from below.
The above figure depicting long-run average cost curve is arrived at on the basis of traditional
economic analysis. It is flattened ‘U’ shaped. This type of curve could exist only when the state
of technology remains constant. But the empirical evidence shows that the state of technology
changes in the long-run.
Therefore, modern firms face ‘L-shaped’ cost curve than ‘u-shaped’. The L shaped cost curve is
given below. According to the diagram, over AB range, the curve is perfectly flat. Over this
range all sizes of plant have the same minimum cost.
SUMMARY
The relation between cost and output is called “Cost Function”. Cost function of a firm depends
upon its production function and the prices of factors of production.
In cost analysis a number of cost concepts are employed like accounting costs (costs which are
accounted for), economic costs (costs which are accounted for plus costs which are not incurred
but would have been incurred but for the employment of self services by the entrepreneurs),
direct costs (costs which can be directly traced to a function or product), indirect costs (costs
which cannot be related directly to product or function) and so on. Economists are generally
interested in two types of cost functions, the short run cost function and the long run cost
function and accordingly derive the short run and long run cost curves. Related to short run
and long run periods we have fixed cost concept and variable cost concept.
Fixed cost are not a function of output and they are fixed in the short run. Variable costs, on
the other hand, are variable with the level of output. In the long run all costs become variable.
Cost of production is the most important force governing the supply of a product. It should be
noted that it is assumed that for each level of output, the firm chooses the least cost combination
of factors.
GENERAL ECONOMICS 133
tsoC
Output
Fig. 13 : Long-run Average Cost Curve
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MULTIPLE CHOICE QUESTIONS
1. Which of the following is considered production in Economics?
(a) Tilling of soil.
(b) Singing a song before friends.
(c) Preventing a child from falling into a manhole on the road.
(d) Painting a picture for pleasure.
2. Identify the correct statement :
(a) The average product is at its maximum when marginal product is equal to average
product.
(b) The law of increasing returns to scale relates to the effect of changes in factor
proportions.
(c) Economies of scale arise only because of indivisibilities of factor proportions.
(d) Internal economies of scale can accrue only to the exporting sector.
3. Which of the following is not a characteristic of land?
(a) Its supply for the economy is limited.
(b) It is immobile.
(c) Its usefulness depends on human efforts.
(d) It is produced by our forefathers.
4. Which of the following statements is true?
(a) Accumulation of capital depends solely on income.
(b) Savings can also be affected by the State.
(c) External economies go with size and internal economies with location.
(d) The supply curve of labour is an upward slopping curve.
5. In the production of wheat, all of the following are variable factors that are used by the
farmer except :
(a) the seed and fertilizer used when the crop is planted.
(b) the field that has been cleared of trees and in which the crop is planted.
(c) the tractor used by the farmer in planting and cultivating not only wheat but also
corn and barley.
(d) the number of hours that the farmer spends in cultivating the wheat fields.
6. The marginal product of a variable input is best described as:
(a) total product divided by the number of units of variable input.
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(b) the additional output resulting from a one unit increase in the variable input.
(c) the additional output resulting from a one unit increase in both the variable and fixed
inputs.
(d) the ratio of the amount of the variable input that is being used to the amount of the
fixed input that is being used.
7. Diminishing marginal returns implies:
(a) decreasing average variable costs.
(b) decreasing marginal costs.
(c) increasing marginal costs.
(d) decreasing average fixed costs.
8. The short run, as economists use the phrase, is characterized by:
(a) at least one fixed factor of production and firms neither leaving nor entering the
industry.
(b) a period where the law of diminishing returns does not hold.
(c) no variable inputs – that is all of the factors of production are fixed.
(d) all inputs being variable.
9. The marginal, average, and total product curves encountered by the firm producing in
the short run exhibit all of the following relationships except:
(a) when total product is rising, average and marginal product may be either rising or
falling.
(b) when marginal product is negative, total product and average product are falling.
(c) when average product is at a maximum, marginal product equals average product,
and total product is rising.
(d) when marginal product is at a maximum, average product equals marginal product,
and total product is rising.
10. To economists, the main difference between the short run and the long run is that :
(a) in the short run all inputs are fixed, while in the long run all inputs are variable.
(b) in the short run the firm varies all of its inputs to find the least-cost combination of
inputs.
(c) in the short run, at least one of the firm’s input levels is fixed.
(d) in the long run, the firm is making a constrained decision about how to use existing
plant and equipment efficiently.
11. Which of the following is the best definition of the “production function”?
(a) The relationship between market price and quantity supplied.
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(b) The relationship between the firm’s total revenue and the cost of production.
(c) The relationship between the quantities of inputs needed to produce a given level of
output.
(d) The relationship between the quantity of inputs and the firm’s marginal cost of
production.
12. The “law of diminishing returns” applies to :
(a) the short run, but not the long run.
(b) the long run, but not the short run.
(c) both the short run and the long run.
(d) neither the short run nor the long run.
13. Diminishing returns occur :
(a) when units of a variable input are added to a fixed input and total product falls.
(b) when units of a variable input are added to a fixed input and marginal product falls.
(c) when the size of the plant is increased in the long run.
(d) when the quantity of the fixed input is increased and returns to the variable input
falls.
Use the following information to answer questions 14-16.
Hours of Labour Total Output Marginal Product
0 —- —-
1 100 100
2 80
3 240
14. What is the total output when 2 hours of labour are employed?
(a) 80
(b) 100
(c) 180
(d) 200
15. What is the marginal product of the third hour of labour?
(a) 60
(b) 80
(c) 100
(d) 240
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16. What is the average product of the first three hours of labour?
(a) 60
(b) 80
(c) 100
(d) 240
17. Which cost increases continuously with the increase in production?
(a) Average cost.
(b) Marginal cost.
(c) Fixed cost.
(d) Variable cost.
18. Which of the following cost curves is never ‘U’ shaped?
(a) Average cost curve.
(b) Marginal cost curve.
(c) Average variable cost curve
(d) Average fixed cost curve.
19. Total cost in the short run is classified into fixed costs and variable costs. Which one of the
following is a variable cost?
(a) Cost of raw materials.
(b) Cost of equipment.
(c) Interest payment on past borrowings.
(d) Payment of rent on building.
20. In the short run, when the output of a firm increases, its average fixed cost :
(a) increases.
(b) decreases.
(c) remains constant.
(d) first declines and then rises.
21. Which one of the following is also known as planning curve?
(a) Long run average cost curve.
(b) Short run average cost curve.
(c) Average variable cost curve.
(d) Average total cost curve.
22. The cost of one thing in terms of the alternative given up is known as:
(a) production cost.
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(b) physical cost.
(c) real cost.
(d) opportunity cost.
23. With which of the following is the concept of marginal cost closely related?
(a) variable cost.
(b) fixed cost.
(c) opportunity cost.
(d) economic cost.
24. Which of the following statements is correct?
(a) When the average cost is rising, the marginal cost must also be rising.
(b) When the average cost is rising, the marginal cost must be falling.
(c) When the average cost is rising, the marginal cost is above the average cost.
(d) When the average cost is falling, the marginal cost must be rising.
25. Which of the following is an example of an “explicit cost”?
(a) The wages a proprietor could have made by working as an employee of a large firm.
(b) The income that could have been earned in alternative uses by the resources owned
by the firm.
(c) The payment of wages by the firm.
(d) The normal profit earned by a firm.
26. Which of the following is an example of an “implicit cost”?
(a) Interest that could have been earned on retained earnings used by the firm to finance
expansion.
(b) The payment of rent by the firm for the building in which it is housed.
(c) The interest payment made by the firm for funds borrowed from a bank.
(d) The payment of wages by the firm.
Use the following data to answer questions 27-29.
Output (O) 0 1 2 3 4 5 6
Total Cost (TC) : Rs. 240 Rs. 330 Rs. 410 Rs. 480 Rs. 540 Rs. 610 Rs. 690
27. The average fixed cost of 2 units of output is :
(a) Rs. 80
(b) Rs. 85
(c) Rs. 120
(d) Rs. 205
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28. The marginal cost of the sixth unit of output is :
(a) Rs. 133
(b) Rs. 75
(c) Rs. 80
(d) Rs. 450
29. Diminishing marginal returns start to occur between units :
(a) 2 and 3.
(b) 3 and 4.
(c) 4 and 5.
(d) 5 and 6.
30. Marginal cost is defined as :
(a) the change in total cost due to a one unit change in output.
(b) total cost divided by output.
(c) the change in output due to a one unit change in an input.
(d) total product divided by the quantity of input.
31. Which of the following is true of the relationship between the marginal cost function and
the average cost functions?
(a) If MC is greater than ATC, then ATC is falling.
(b) The ATC curve intersects the MC curve at minimum MC.
(c) The MC curve intersects the ATC curve at minimum ATC.
(d) If MC is less than ATC, then ATC is increasing.
32. Which of the following statements is true of the relationship among the average cost
functions?
(a) ATC = AFC – AVC.
(b) AVC = AFC + ATC.
(c) AFC = ATC + AVC.
(d) AFC = ATC – AVC.
33. Which of the following is not a determinant of the firm’s cost functions?
(a) The production function.
(b) The price of labour.
(c) Taxes.
(d) The price of the firm’s output.
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34. Which of the following statements is correct concerning the relationships among the firm’s
functions?
(a) TC = TFC – TVC.
(b) TVC = TFC – TC.
(c) TFC = TC – TVC.
(d) TC = TVC – TFC.
35. Suppose output increases in the short run. Total cost will :
(a) increase due to an increase in fixed costs only.
(b) increase due to an increase in variable costs only.
(c) increase due to an increase in both fixed and variable costs.
(d) decrease if the firm is in the region of diminishing returns.
36. Which of the following statements concerning the long-run average cost curve is false?
(a) It represents the least-cost input combination for producing each level of output.
(b) It is derived from a series of short-run average cost curves.
(c) The short-run cost curve at the minimum point of the long-run average cost curve
represents the least–cost plant size for all levels of output.
(d) As output increases, the amount of capital employed by the firm increases along the
curve.
37. The negatively-sloped (i.e. falling) part of the long-run average total cost curve is due to
which of the following?
(a) Diseconomies of scale.
(b) Diminishing returns.
(c) The difficulties encountered in coordinating the many activities of a large firm.
(d) The increase in productivity that results from specialization.
38. The positively sloped (i.e. rising) part of the long run average total cost curve is due to
which of the following?
(a) Diseconomies of scale.
(b) Increasing returns.
(c) The firm being able to take advantage of large-scale production techniques as it
expands its output.
(d) The increase in productivity that results from specialization.
39. A firm’s average total cost is Rs. 300 at 5 units of output and Rs. 320 at 6 units of output.
The marginal cost of producing the 6th unit is :
(a) Rs. 20
(b) Rs. 120
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(c) Rs. 320
(d) Rs. 420
40. A firm producing 7 units of output has an average total cost of Rs. 150 and has to pay
Rs. 350 to its fixed factors of production whether it produces or not. How much of the
average total cost is made up of variable costs?
(a) Rs. 200
(b) Rs. 50
(c) Rs. 300
(d) Rs. 100
41. A firm has a variable cost of Rs. 1000 at 5 units of output. If fixed costs are Rs. 400, what
will be the average total cost at 5 units of output?
(a) Rs. 280
(b) Rs. 60
(c) Rs. 120
(d) Rs. 1400
42. A firm’s average fixed cost is Rs. 20 at 6 units of output. What will it be at 4 units of
output?
(a) Rs. 60
(b) Rs. 30
(c) Rs. 40
(d) Rs. 20
43. Which of the following statements is true?
(a) The services of a doctor are considered production.
(b) Man can create matter.
(c) The services of a housewife are considered production.
(d) When a man creates a table, he creates matter.
44. Which of the following is a function of an entrepreneur?
(a) Initiating a business enterprise.
(b) Risk bearing.
(c) Innovating.
(d) All of the above.
45. In describing a given production technology, the short run is best described as lasting:
(a) up to six months from now.
(b) up to five years from now.
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(c) as long as all inputs are fixed.
(d) as long as at least one input is fixed.
46. If decreasing returns to scale are present, then if all inputs are increased by 10% then:
(a) output will also decrease by 10%.
(b) output will increase by 10%.
(c) output will increase by less than 10%.
(d) output will increase by more than 10%.
47. The production function is a relationship between a given combination of inputs and:
(a) another combination that yields the same output.
(b) the highest resulting output.
(c) the increase in output generated by one-unit increase in one output.
(d) all levels of output that can be generated by those inputs.
48. If the marginal product of labour is below the average product of labour, it must be true
that:
(a) the marginal product of labour is negative.
(b) the marginal product of labour is zero.
(c) the average product of labour is falling.
(d) the average product of labour is negative.
49. The average product of labour is maximized when marginal product of labour:
(a) equals the average product of labour.
(b) equals zero.
(c) is maximized.
(d) none of the above.
50. The law of variable proportions is drawn under all of the assumptions mentioned below
except the assumption that:
(a) the technology is changing.
(b) there must be some inputs whose quantity is kept fixed.
(c) we consider only physical inputs and not economically profitability in monetary terms.
(d) the technology is given and stable.
51. What is a production process?
a. technical relationship between physical inputs and physical output.
b. relationship between fixed factors of production and variable factors of production.
c. relationship between a factor of production and the utility created by it.
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d. relationship between quantity of output produced and time taken to produce the
output.
52. Laws of production does not include ……
a. returns to scale.
b. law of diminishing returns to a factor
c. law of variable proportions.
d. least cost combination of factors.
53. Identify the fixed cost from the following:
a. Labour cost.
b. Electricity bill
c. Salary of watchman
d. Cost of raw materials
54. Which of the following is not an assumption of the law of variable proportions
a. Only one factor is variable.
b. Technique of production remains constant.
c. Proportion of factors of production remains same.
d. Units of variable factor are homogeneous.
55. Which of the following statements is correct?
a. Supply of land is perfectly elastic.
b. Fertility of land cannot change.
c. Land does not yield any result unless human efforts are employed.
d. Supply of land can be increase.
56. The production process described below exhibits
Number of Workers Output
0 0
1 23
2 40
3 50
a. constant marginal product of labour
b. diminishing marginal product of labour
c. increasing return to scale
d. increasing marginal product of labour
57. Which of the following is a variable cost in the short run?
a. rent of the factory
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b. wages paid to the factory labour
c. interest payments on borrowed financial capital
d. payment on the lease for factory equipment
58. The efficient scale of production is the quantity of output that minimizes
a. average fixed cost
b. average total cost
c. average variable cost
d. marginal cost
59. If marginal cost equals average total cost,
a. average total cost is falling
b. average total cost is rising
c. average total cost is maximized
d. average total cost is minimized
60. In the long run
a. all inputs are fixed
b. all inputs are variable
c. at least one input is variable and one input is fixed
d. at most one input is variable and one input is fixed
61. Average product is defined as
a. total product divided by the total cost
b. total product divided by marginal product
c. total product divided by the variable input
d. marginal product divided by the variable input
62. The change in the total product resulting from a change in a variable input is
a. average cost
b. average product
c. marginal cost
d. marginal product
63. Marginal product, mathematically, is the slope of the
a. total product curve
b. average product curve
c. marginal product curve
d. implicit product curve
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64. Suppose the first four units of a variable input generate corresponding total outputs of
200, 350, 450, 500. The marginal product of the third unit of input is:
a. 50
b. 100
c. 150
d. 200
65. The law of diminishing marginal returns indicates that marginal return
a. always diminish
b. eventually diminish
c. always diminish before increasing
d. never diminish before increasing
66. Diminishing marginal returns for the first four units of a variable input is exhibited by the
total product sequence:
a. 50,50,50,50
b. 50,110,180,260
c. 50, 100, 150, 200
d. 50, 90, 120, 140
67. If marginal product is equal to average product, then:
a. marginal product is increasing
b. marginal product is decreasing
c. average product is decreasing
d. average product is not changing
68. In the third of the three stages of production:
a. the marginal product curve has a positive slope
b. the marginal product curve lies completely below the average product curve
c. total product increases
d. marginal product is positive
69. When marginal costs are below average total costs,
(a) average fixed costs are rising
(b) average total costs are falling
(c) average total costs are rising
(d) average total costs are minimized
70. If the average cost is falling, then:
(a) Marginal cost is rising
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(b) Marginal cost is falling
(c) Marginal cost is equal to average cost
(d) It is impossible to tell if marginal cost is rising or falling
71. In the long run, if a very small factory were to expand its scale of operations, it is likely
that it would initially experience
(a) an increase in pollution level
(b) diseconomies of scale
(c) economies of scale
(d) constant returns to scale
72. The difference between average total cost and average variable cost:
(a) is constant
(b) is total fixed cost
(c) gets narrow as output decreases
(d) is the average fixed cost
73. In the long-run, some firms will exit the market if the price of the good offered for sale is
less than
a. marginal revenue
b. marginal cost
c. average total cost
d. average revenue
74. The marginal cost for a firm of producing the 9th unit of output is Rs. 20. Average cost at
the same level of output is Rs. 15. Which of the following must be true?
a. marginal cost and average cost are both falling
b. marginal cost and average cost are both rising
c. marginal cost is rising and average cost is falling
d. it is impossible to tell if either of the curves are rising or falling
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ANSWERS
1. a 2. a 3. d 4. b 5. b 6. b
7. c 8. a 9. d 10. c 11. c 12. a
13. b 14. c 15. a 16. b 17. d 18. d
19. a 20. b 21. a 22. d 23. a 24. c
25. c 26. a. 27. c. 28. c 29. c 30. a.
31. c 32. d 33. d 34. c 35. b 36. c
37. d 38. a 39. d 40. d 41. a 42. b
43. a 44. d 45. d 46. c 47. b 48. c
49. a 50. a 51. a 52. d 53. c 54. c
55. c 56. b 57. b 58. b 59. d 60. b
61. c 62. d 63. a 64. b 65. b 66. d
67. d 68. b 69. b 70. d 71. c 72. d
73. c 74. b
GENERAL ECONOMICS 147
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