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Microeconomic Theory



                   Notes       In other words, by using little more labour, whatever production increases is similar to the loss of
                               production by using little less capital. The production is equal to ∆TP by increasing of ∆L quantity of
                               labour. Thus the production is low by ∆TP due to ∆K amount of less capital.
                                                                 ∆TP
                                                            ____
                               So,                          ∆TP     =    ____                                 ...(i)


                                                            ∆K
                                                                  ∆L
                                                            ____
                               We know,                     ∆TP      = MP

                                                            ∆K      K
                               or                           ∆TP = MP  × ∆ K                  (Increase in production)
                                                                    K
                                                            ∆TP = MP  × ∆ L                      (Loss in production
                                                                    L
                                                       MP  × ∆K = MP  × ∆ L
                                                          K         L
                               (Here MP  = Marginal physical product of labour, MP  = Marginal physical product of capital)
                                       L                                  K
                                                                 MP
                                                            ∆K
                               ∴                            ___        =    _____ L
                                                                 MP
                                                            ∆L
                                                                    K
                               So the rate of technical substitution is equal to the rate of marginal products of capital and labour. The
                               marginal rate of technical substitution between capital and labour has downward nature. This means
                               for the capital, MRTS of labour decreases. More labour is substituted for every extra unit of capital.
                                         The Isoquant curve is the curve which represents the various combinations of factors
                                        which do the same amount of production.




                               10.5  Isoquant Map

                               The combination of aggregate Isoquant curve represented by a figure is called Isoquant Map as it is
                                                        presented in Fig. 10.2. Isoquant map refers to the family of Isoquant
                                 The high level of production   curves placed in one diagram. It shows a set of isoquants, one for each
                                 is represented by a right hand   level of output.
                                 side curve of an Isoquant
                                 curve.

                                                                    Fig. 10.2

                                                            Y
                                                                      IQ
                                                                  IQ 2  3
                                                               IQ 1


                                                           Capital


                                                                                   300
                                                                                  200
                                                                               100
                                                           O                        X
                                                                    Labour





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