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PRODUCTION Refers to the transformation of resources into output of goods and services Short Run Fixed Inputs Variable Inputs Production Function (refers to relation b/w firm’s input of resources and output of goods) Q = Q(L, K), where L is Labour and K is capital Cobb-Douglas Production Function Q = ALµ K1-µ

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PCP SESSION 3 - 13 NOV 2011. PREPARED BY NISHANT GARG

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Page 1: 2 production

PRODUCTION• Refers to the transformation of resources into

output of goods and services

• Short Run– Fixed Inputs– Variable Inputs

• Production Function (refers to relation b/w firm’s input of resources and output of goods)– Q = Q(L, K), where L is Labour and K is capital

• Cobb-Douglas Production Function– Q = ALµ K1-µ

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• Total Product– It is the output that can be produced using

various levels of inputs

• Average Product– It is the total production divided by the number

of variable input employed

• Marginal Product– change in output resulting from a change in

factor of production

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Law of Diminishing Marginal Product

• It postulates that as more units of a variable input are used with a fixed amount of other inputs, after a point, a smaller and smaller return will accrue to

• each additional unit of the variable unit. In other words, the marginal product of the variable input eventually declines

• This occurs because each additional unit of the variable input has less and less of the fixed inputs with which to work.

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Law of Diminishing Marginal Product

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Stages of Production

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Stage I

• TPL, APL and MPL – all are rising. This implies that as more and more input

• TPL increasing at increasing rate

• (Labour) is used in the production process, the output due to labour in a given situation increases.

• When APL is maximum, is equal to MPL.

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Stage II

• This stage II begins where stage I ends and continues up until stage III begins.

• In this stage, TPL is rising but at a falling rate, such that both APL are MPL are declining

• Till MPL becomes zero corresponding to TPL reaching maximum.

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Stage III

• It shows that both TPL and APL are declining, so does MPL at a faster rate

• Such that it is negative (both in terms of absolute level of output and relative rate of change)

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• If the firm intends to maximise production, it should employ O-L2• If the firm intends to maximise production per unit of labour, it should

employ O-L1. • If it wants to maximise additional output (production) per unit of

additional labour, it should employ O-L0. • Under no circumstances it should employ any labour beyond O-L2,

because then the (marginal) productivity of labour is zero or negative.

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PRODUCTION IN LONG RUN

• Increasing returns to scale occurs when the percentage change in output is greater than the percentage change in inputs.

• Decreasing returns to scale occurs when the percentage change in input is greater than the percentage change in output.

• Constant returns to scale occurs when the percentage change in output is equal to percentage change in input.

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Returns to Scale

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Marginal rate of technical substitution

• Measures how one factor of production is

substituted for another while keeping the output constant

The marginal rate of technical substitution of labour for capital K can be determined as:

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Isoquant

• Represents Marginal Rate of Technical Substitution between factors K and L (ML

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Isoquant - Features

• Negative slope

• Upper Isoquants represent higher level of output

• Do not intersect each other

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Economic Region of Production and Ridge Lines

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Isocost

For any given cost, the isocost line defines all combinations of capital and labour inputs that can be purchased for Co (level of cost)

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Equilibrium point of the firm