Suppose the market supply curve is given by Q = 40 + 30P, and the market demand curve is given by Q = 400 - 15P.
a) Solve for the equilibrium market price and quantity.
b) What is the consumer surplus in the market equilibrium?
c) Now suppose the government imposes a price ceiling of $10. What amount is traded in the market (assume the government does not purchase excess supply)? Now what is the consumer surplus?
d) Draw a clearly labeled graph with the market supply and demand functions, and the price ceiling. Label the areas for the consumer surplus, the producer surplus, and the deadweight loss with the price ceiling.
Jeremy Lin has preferences over consumption c and leisure l given by: (c,1) = c^(2/3).