In the market for cotton, the quantity demanded and quantity supplied are expressed mathematically as QD = 400 – 250P and QS = 250P – 100, where P is the price per pound of cotton and Q measures pounds of cotton. Suppose the government sets a price ceiling of $0.50 per pound of cotton.

a. How big is the shortage resulting from the price ceiling?

b. What is the level of consumer surplus with the price ceiling?

c. What is the level of producer surplus with the price ceiling?

d. What is the value of the deadweight loss associated with the price ceiling?