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Unit-6: Theory of Demand and Elasticity of Demand



            a factory is also known as demand curve. The elasticity of demand by Average revenue and Marginal   Notes
                                                            A

                                                                    , (Here, E = Price elasticity of demand,
            revenue can be determined by the following formula— E  =   ______  d
                                                           A – M
                                                        d
            A = Average Revenue; M = Marginal Revenue).
            This formula of Elasticity of demand can be cleared with the help of Fig. 6.21. In this figure, revenue
            on OY-axis and quantity of commodity on OX-axis are shown. AB is average revenue (AR) or demand
            curve and AN  is marginal revenue (MR) curve. Elasticity of demand on ‘P’ point of Demand curve
            (average revenue) can be determined with the help of following formula—
                   Lower Part  ___
                              PB
                   ___________

               E =              =    PA
                d  Upper Part
               ∆PMB and ∆AEP are congruent trianges, so the ratio of their sides are equal.
                                   PM
                              PB
                          E =    ___      =    ____                                       ... (1)

                           d  PA
                                   AE
               ∆AET and ∆TPL are congruent triangles, so PL = AE.
                                                Fig. 6.21

                                      Y

                                     A
                                     Revenue  E  T  P





                                                  L
                                                    MR           B
                                     O                              X
                                                 MN             AR
                                                 Quantity


            Writing PL in place of AE in equation (1)

                                 ____

                             E  =   PM
                                 PL
                              d
               because      PL = PM – LM
                                  PM

               therefore     E  =   ________

                                 PM–LM
                              d
               here         PM = AR and LM = MR
                                            AR
                                                     A
                                  PM
               so           Ed =   ________     =    _________   or  ______





                                 PM–LM   AR – MR   A – M
                                         Average Revenue

                               =    __________________________________
                                 Average Revenue – Marginal Revenue
              If the cost of E is same by using the above formula, then elasticity of demand will be unity. If it is more
                       d
            than one then price elasticity of demand will be more than the unity or elastic and if it is less than one
            then price elasticity of demand will be less than the unity or inelastic.
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