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Microeconomic Theory



                   Notes       If the combination of minimum cost of inputs would be retrieved then the producer would certainly
                               substitute capital in respect to labour. Because when the price of labour increases, all matter remain
                               same, then capital gets cheaper. Initially, price average was P /P  = 50/75, now it is 75/75, it means
                                                                                 L
                                                                                    K
                               capital is cheaper than labour.
                               The minimum cost combination would definitely change now. Now how much should invest in labour
                               and capital so that the expenditure becomes less?
                               Definitely,  this  matter  depends  on  the  technical  substitution  rate  between  labour  and  capital.  This
                               imaginary position is described by Fig. 10.10.
                               To produce similar 100 units of pen, 10 units of labour and 18 units of capital are sufficient. However
                               the cost of both labour and capital is now   75, but capital is more efficient than labour. So now more
                               capital and less labour will be used. With this new combination, the minimum production cost to
                               produce 100 pens is—

                                                             (18 × 75 + 10 × 75) =   2,100
                               E  is the new point for the new factors of profit maximization in which 18 units of capital, which is
                                1
                               comparatively cheaper, and 10 units of labour, which is comparatively costly, and undoubtly here is no
                               change in capital.


                                                                   Fig. 10.10
                                                              Y



                                                            20

                                                           Capital  18  E 1  E
                                                            10

                                                                               IQ (100)
                                                             0                         X
                                                                  10 15  20   30
                                                                      Labour


                               So we can say that as soon as the cost of labour increases, capital gets cheaper. Thus the Principle of
                               Substitution happens as capital is substituted for labour. When the price of any factor is changed then
                               the production by old combination of factors gets costlier or inefficient.



                               10.12  Expansion Path
                               If  the  capital  of  firm  rises  then  it  will  want  to  increase  his  production.  The  quantity  of  production
                               can rise when there is no increment in price of factors as well as cost due to rise of capital. The total
                               production level is increased by increasing the capital of firm and firm can  produce production in
                               various levels by using various combinations of factors. The firm will use what point in the various
                               levels of production can be identified by Expansion Path. Expansion Path refers to the locus of all such
                               points that show least cost combination of factors corresponding to different levels of output. In other
                               words, Expansion Path indicates that when the firm increases its production level then which optimum
                               combination of factors is used. Since the expansion of firm depends upon the status of production, so
                               expansion path is also called Scale Line.




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