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                                                 2.1 DEMAND, SUPPLY, AND MARKET EQUILIBRIUM                      37
                      axis), as shown in Figure 2.8. This shift indicates that less product would be supplied
                      at any price, and the market equilibrium would move from point A to point B. The
                      increase in the price of labor increases the equilibrium price and decreases the equi-
                      librium quantity.
                         Figure 2.7 shows us that an increase in demand, coupled with an unchanged sup-
                      ply curve, results in a higher equilibrium price and a larger equilibrium quantity.
                      Figure 2.8 shows that a decrease in supply, coupled with an unchanged demand curve,
                      results in a higher equilibrium price and a smaller equilibrium quantity. By going
                      through similar comparative statics analyses for a decrease in demand and an increase
                      in supply, we can derive the four basic laws of supply and demand:

                      1. Increase in demand   unchanged supply curve   higher equilibrium price and
                         larger equilibrium quantity.
                      2. Decrease in supply   unchanged demand curve   higher equilibrium price and
                         smaller equilibrium quantity.
                      3. Decrease in demand   unchanged supply curve   lower equilibrium price and
                         smaller equilibrium quantity.
                      4. Increase in supply   unchanged demand curve   lower equilibrium price and
                         larger equilibrium quantity.




                                LEARNING-BY-DOING EXERCISE 2.4
                          S
                        E  D
                                Comparative Statics on the Market Equilibrium
                                Suppose that the U.S. demand for alu-  Solution
                                                 d
                      minum is given by the equation Q   500   50P   10I,
                      where P is the price of aluminum expressed in dollars per  (a) We substitute I   10 into the demand equation to get
                                                                                                   d
                      kilogram and I is the average income per person in the  the demand curve for aluminum: Q   600   50P.
                                                                                         d
                                                                                               s
                      United States (in thousands of dollars per year). Average  We then equate  Q to  Q to find the equilibrium
                      income is an important determinant of the demand for  price: 600   50P   400   50P, which implies P   10.
                      automobiles and other products that use aluminum, and  The equilibrium price is thus $10 per kilogram. The equi-
                      hence is a determinant of the demand for aluminum  librium quantity is Q   600   50(10), or Q   100. Thus,
                      itself. Further suppose that the U.S. supply of aluminum  the equilibrium quantity is 100 million kilograms per year.
                                                     s
                      (when P   8) is given by the equation Q   400   50P.  (b) The change in I creates a new demand curve that we
                      In both the demand and supply functions, quantity is  find by substituting I   5 into the demand equation shown
                      measured in millions of kilograms of aluminum per year.  above: Q   550   50P. Figure 2.9 shows this demand
                                                                              d
                                                                      curve as well as the demand curve for I   10. As before, we
                                                                                  s
                                                                             d
                      Problem                                         equate Q to Q to find the equilibrium price: 550   50P
                                                                       400    50P, which implies  P   9.5. The equilibrium
                      (a) What is the market equilibrium price of aluminum  price thus decreases from $10.00 per kilogram to $9.50 per
                      when I   10 (i.e., $10,000 per year)?           kilogram. The equilibrium quantity is Q   550   50(9.50),
                                                                      or Q   75. Thus, the equilibrium quantity decreases from
                      (b) What happens to the demand curve if average   100 million kilograms per year to 75 million kilograms.
                      income per person is only $5,000 per year (i.e., I   5  Figure 2.9 shows this impact. Note that it is consistent with
                      rather than I   10). Calculate the impact of this de-  the third law of supply and demand: A decrease in demand
                      mand shift on the market equilibrium price and  coupled with an unchanged supply curve results in a lower
                      quantity and then sketch the supply curve and the de-  equilibrium price and a smaller equilibrium quantity.
                      mand curves (when I   10 and when I   5) to illustrate
                      this impact.                                    Similar Problems:    2.11, 2.18
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