5. Suppose that in the ukulele market described in Problem 2, the government imposes a $40 sales tax, which causes the equilibrium price to go up to $100.

Calculate the following:

a. The quantity purchased by each buyer, the consumer surplus for each buyer, and the consumer surplus for the market as a whole

b. The quantity produced by each seller, the producer surplus for each seller, and the producer surplus for the market as a whole

c. The amount of revenue collected by the government

d. The deadweight loss for the economy resulting from the tax