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c12capturingsurplus.qxd  8/18/10  2:29 AM  Page 499







                              12.3 SECOND-DEGREE PRICE DISCRIMINATION: QUANTITY DISCOUNTS                       499



                           $16                     Average expenditure
                                                   (average outlay)
                            14                             B      C
                          Average outlay (dollars per unit)  10 8 6       AO
                           12.50
                           11.60








                                                                                Schedule
                                                                                With the block tariff illustrated in Figure 12.5,
                                                                                the average expenditure per unit is constant
                             2 4                                                FIGURE 12.6   Nonlinear Outlay
                                                                                ($14 per unit) up to a quantity of 6 units. If
                                                                                the consumer buys more than 6 units, the
                             0        2      4      6       8     10     12     average expenditure declines. Since the av-
                                                                                erage outlay curve AO is not a straight line,
                                           Quantity purchased (units)
                                                                                it is called nonlinear.

                      APPLICA TION  12.3

                      Block Pricing in Electricity
                                                                      ward sloping, so that a lower price will stimulate that
                                                                      consumer to purchase more electricity.
                      When a power company sells electricity with a block  Suppose the market has two customers, Mr. Large
                      tariff, it does not know each individual’s demand  and Mr. Small, with the demand curves shown in
                      schedule. However, it does know that some customers  Figure 12.7. If the company charges a uniform price P 1
                      have larger demands for electricity than others. It also  for all units of electricity sold, Mr. Small will buy Q 1S
                      knows that each consumer’s demand curve is down-  units of electricity per month, and Mr. Large will








                                                                                       FIGURE 12.7   Benefits of
                          Price ($ per call)  P 1            I   surplus     Additional  With uniform price P 1 per unit of
                                                                                       Block Pricing for Electricity
                                                                 Additional consumer
                                                                                       electricity, Mr. Small buys Q 1S units
                                                                                       and Mr. Large buys Q 1L units. With
                             2
                            P
                                                                             surplus
                                                                                       first Q 1L units, P 2 per unit for addi-
                                                             II              producer  block pricing (P 1 per unit for the
                                                                                       tional units), Mr. Small’s situation
                                                                                       doesn’t change: he still buys Q 1S
                                                                           MC
                                                                                       units at P 1 per unit, with the same
                                                  D Small            D Large           consumer surplus. But Mr. Large
                                                                                       now buys a total of Q 2L units. His
                                       Q                  Q   Q                        consumer surplus goes up by area
                                         1S                 1L  2L
                                                Quantity (calls per month)             I, and the company’s producer
                                                                                       surplus goes up by area II.
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