Intermediate Microeconomics and Its Application 12th Edition by Walter Nicholson,Christopher Snyder

Exercise 5

Gasoline is sold through local gasoline stations under perfectly competitive conditions. All gasoline station owners face the same long-run average cost curve given by
AC =.01q - 1 + 100/q and the same long-run marginal cost curve given by
MC =.02q - 1
where q is the number of gallons sold per day.
a. Assuming the market is in long-run equilibrium, how much gasoline will each individual owner sell per day? What are the long-run average cost and marginal cost at this output level?
b. The market demand for gasoline is given by
Q D - 2,500,000 - 500,000P
where QD is the number of gallons demanded per day and P is the price per gallon. Given your answer to part a, what will be the price of gasoline in long-run equilibrium? How much gasoline will be demanded, and how many gas stations will there be?
c. Suppose that because of the development of solar-powered cars, the market demand for gasoline shifts inward to
Q D - 2,000,000 - 1,000,000 P
In long-run equilibrium, what will be the price of gasoline? How much total gasoline will be demanded, and how many gas stations will there be?
d. Graph your results.