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figure 46.1


                The Demand for Vaccinations         Price of
                                                   vaccination
                At a price of $20 per vaccination, the quantity
                of vaccinations demanded is 10 million per
                year (point A). When price rises to $21 per vac-
                cination, the quantity demanded falls to 9.9
                million vaccinations per year (point B).
                                                                          B
                                                         $21                                                           Section 9 Behind the Demand Curve: Consumer Choice

                                                                            A
                                                          20

                                                                                  D



                                                           0            9.9  10.0  Quantity of vaccinations
                                                                                            (millions)





             and

                  (46-2) % change in price =  Change in price  × 100
                                           Initial price

             In Figure 46.1, we see that when the price rises from $20 to $21, the quantity demanded
             falls from 10 million to 9.9 million vaccinations, yielding a change in the quantity de-
             manded of 0.1 million vaccinations. So the percent change in the quantity demanded is

                   % change in quantity demanded =  −0.1 million vaccinations ×  100 = −1%
                                                10 million vaccinations

             The initial price is $20 and the change in the price is $1, so the percent change in the price is

                                                   $1
                                  % change in price =  ×  100 = 5%
                                                   $20

             To calculate the price elasticity of demand, we find the ratio of the percent change in
             the quantity demanded to the percent change in the price:

                  (46-3) Price elasticity of demand =  % change in quantity demanded
                                                      % change in price
             In Figure 46.1, the price elasticity of demand is therefore


                                  Price elasticity of demand =  1%  =  0.2
                                                         5%

             The law of demand says that demand curves slope downward, so price and quantity de-
             manded always move in opposite directions. In other words, a positive percent change in
             price (a rise in price) leads to a negative percent change in the quantity demanded; a nega-
             tive percent change in price (a fall in price) leads to a positive percent change in the quan-
             tity demanded. This means that the price elasticity of demand is, in strictly mathematical
             terms, a negative number. However, it is inconvenient to repeatedly write a minus sign. So


                                      module 46       Income Effects, Substitution Effects, and Elasticity      461
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