Chapter 4/Supply and Demand: An Initial Look
FIGURE 6
8. (More difficult) The demand and supply curves for T-shirts in Touristtown, U.S.A., are
given by the following equations:
Q = 24,000 − 500P Q = 6,000 + 1,000P
where P is measured in dollars and Q is the number of T-shirts sold per year.
a. Find the equilibrium price and quantity algebraically.
b. If tourists decide they do not really like T-shirts that much, which of the following
might be the new demand curve?
Q = 21,000 − 500P Q = 27,000 + 500P
Find the equilibrium price and quantity after the shift of the demand curve.
c. If, instead, two new stores that sell T-shirts open up in town, which of the
following might be the new supply curve?
Q = 4,000 + 1,000P Q = 9,000 + 1,000P
Find the equilibrium price and quantity after the shift of the supply curve.
(a) In equilibrium, quantity demanded equals quantity supplied:
24,000 – 500P = 6,000 + 1,000P