The market for used cars in a particular region includes both high-quality and
low-quality cars. High-quality cars are sold primarily to quality-sensitive customers,
while low-quality cars are sold to price-sensitive buyers. The submarkets for
high-quality and low-quality cars can be described by the supply and demand curves:
QD
H = 160,000 12.5PH
QS
H = – 48,000 + 13.5PH
QD
L = 110,000 – 12.5PL
QS
L = 20,000 + 10PL,
where QD
H, QS
H refer to the quantities demanded and supplied of high-quality cars,
QD
L, QS
L refer to the quantities demanded and supplied of low-quality cars, PH and PL
refer to the prices of high-quality and low-quality cars. All quantities are measured in
cars per month, prices are measured in dollars.
a. Assuming that buyers and sellers are both able to distinguish low-quality and
high-quality cars, determine the price and quantity that will prevail in each submarket.
b. Examine the case where sellers are able to accurately determine used-car quality but
buyers are not. You may assume that buyers assume that all cars are of average quality
so that an average demand curve is appropriate. Determine the price and quantity in
each submarket.
c. Using diagrams, analyze the additional developments in the market until final
long-run equilibrium is reached. You must describe the eventual outcome, but no
calculations are required for this part of the problem.
Equating QD