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Microeconomic Theory



                   Notes       The factors or equilibrium of production can be represented by Fig. 10.8. Suppose that a producer wants
                               to produce pens with total investment of   1500. To produce pens, he needs labour and capital as two
                               factors of production. The one unit of labour costs   50 while one unit of capital costs   75. He can
                               produce with 30 units so labour plus without capital or 20 units of capital plus without labour. He would
                               love to mix the optimum combination of both the factors. This optimum combination is represented by
                               point E when he will use 10 units of capital and 15 units of labour (10 ×   75 + 15 ×   50 =   1,500). The
                               point E is touching point of Isoquant curve IQ and equal cost curve AB. The producer can move above
                               and below the Isoquant curve IQ and equal cost curve AB. If he goes to point M or N of Isoquant curve
                               IQ, then he would find himself on above equal cost line CD, it means he needs to pay more for producing
                               initial amount of pen (100) rather than investing the fixed level of   1500. In other words, to produce 100
                               pens, the cost is minimum at point E. So the point E will represent the combination of minimum cost.

                                                                    Fig. 10.8


                                                            Y
                                                                   Producer's Equilibrium
                                                             C
                                                          25   IQ
                                                             IQ 1  M
                                                          20  A
                                                               R
                                                         Capital  15  E
                                                          10
                                                                              N
                                                           5                       IQ (100)
                                                                            S
                                                                                  IQ  (100)
                                                                                   1
                                                           0                  B    D  X
                                                               5  10  15 20  25  3035
                                                                     Labour

                               In contrast, if he wants to buy the combination of point R or S below Isoquant curve IQ  then he can only
                                                                                                   1
                               to produce 50 out of initial 100 pens on initial investment of   1500. In other words, point E represents
                               more production from a fixed investment. So producer will be in equilibrium only at point E.


                               10.10   Conditions of Optimum Combinations of Factors or Least Cost
                                       Combinations

                               Following are the conditions of optimum combinations of factors or least cost combinations—
                                 1.  The iso-cost line should be touching line for Isoquant curve on flat point. The slope of Isoquant
                                   curve and iso-cost line is equal at touching point. The slope of iso-cost line is the rate price of factors.
                                   The slope of Isoquant curve is the marginal rate of factors. This is also called the Marginal Rate of
                                   Technical Substitution.
                                 2.  iso-cost curve is convex to the origin on touching point or MRTS  is falling.
                                                                                       LK
                                   Thus we can represent the conditions of Optimum combinations as follows—
                                                                   (i)  The slope of Isoquant curve = The slope of iso-cost
                                 The touching point of iso-cost curve and   Line
                                                                                           MP
                                                                                                 P
                                 Isoquant curve represents the maximum                 ∆K  _____  ___
                                                                                       ___
                                                                                                  L
                                                                                              L

                                 quantity of production by a fixed            MRTS  =    ∆L        =    MP       =
                                                                                                 P
                                                                                   LK
                                                                                                  K
                                                                                              K
                                 combination of inputs or represents the      (ii)  iso-cost curve should be convex to the origin on
                                 minimum cost combination of inputs.
                                                                 touching point or MRTS  should be falling.
                                                                                     LK
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