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                                                              2.2 PRICE ELASTICITY OF DEMAND                     43

                      advances made it possible for computer manufactur-  market. The combined effect of technological advances
                      ers to produce computers of given capability much  and new entry pushed the supply curve for computers
                      more cheaply. As we will see later in this book, when  rightward by an amount that equaled or exceeded the
                      a firm’s costs fall in this way, the supply curve shifts  rightward shift in demand. The result is the long-term
                      rightward. Finally, the supply curve also shifted right-  path for prices and quantities represented by the
                      ward because many new computer firms entered the  dashed line in Figure 2.14.


                      The price elasticity of demand measures the sensitivity of the quantity demanded to 2.2

                      price. The price elasticity of demand (denoted by   , ) is the percentage change in quan-  PRICE
                                                               Q P
                      tity demanded (Q) brought about by a 1 percent change in price (P), which means that
                                                                                                ELASTICITY
                                                percentage change in quantity                   OF DEMAND
                                            Q,P
                                                 percentage change in price

                      If  Q is the change in quantity and  P is the change in price, then       price elasticity of
                                                                                                demand A measure of
                                                                 ¢Q                             the rate of percentage
                                       percentage change in price      100%                     change of quantity de-
                                                                  Q                             manded with respect to
                                                                                                price, holding all other
                      and                                                                       determinants of demand
                                                                                                constant.
                                                                   ¢P
                                      percentage change in quantity      100%
                                                                   P
                      Thus, the price elasticity of demand is

                                                        ¢Q
                                                        Q    100%
                                                   Q,P     ¢P
                                                        P    100%
                      or

                                                          ¢Q P
                                                      Q,P                                 (2.3)
                                                          ¢P Q

                      For example, suppose that when the price of a good is $10 (P   10), the quantity
                      demanded is 50 units (Q   50), and that when the price increases to $12 ( P   2), the
                      quantity demanded decreases to 45 units ( Q   5). If we plug these numbers into
                      equation (2.3), we find that in this case the price elasticity of demand is

                                                  ¢Q P      5 10
                                                                   0.5
                                              Q,P
                                                   ¢P Q    2 50
                      As illustrated by this example, the value of   , must always be negative, reflecting the
                                                          Q P
                      fact that demand curves slope downward because of the inverse relationship of price
                      and quantity: When price increases, quantity decreases, and vice versa. The following
                      table shows how economists classify the possible range of values for   Q,P .
   64   65   66   67   68   69   70   71   72   73   74