College athletes can market their name, image, and likeness (NIL). As a result, Judah Mintz, who is on the men's basketball team, is now selling autographs to the public. The demand for his autographs is QD = 50012p. The county wants to tax autograph sales under its 8% sales tax. (a) (4 points) What is the deadweight loss of the county sales tax when Mintz's supply is QS = 8p? (b) (2 points) How much revenue does the tax raise for the county? (c) (2 points) What are the average and marginal deadweight loss from this tax? (d) (2 points) What is the loss in total surplus from this tax when supply is QS = 8p? (note: total surplus is the sum of consumers' and producers' surplus.) (e) (4 points) Brad Pike, the trainer for the men's basketball team, is concerned that Judah will develop carpal tunnel syndrome in the wrist of his shooting hand if he signs too many autographs. So, he limits the number of autographs that can be signed to no more than 100. What is the deadweight loss of this tax when supply is QS = min(100, 8p)? (note: min means "the minimum of "). (f) (2 points) Is estimate of deadweight loss in part (e) an accurate measure? Why or why not? If you believe it to be inaccurate, is it an underestimate or an overestimate of the true deadweight loss? Be sure to buttress your answers with economic reasoning.

(g) (4 points) Who bears the economic burden of this tax when supply is QS = min(100, 8p)? Explain your reasoning.

(h) (4 points) Some citizens have criticized the county, saying that autograph-seeking is a time-honored sports tradition, which out of fairness to all, especially those with low ability to pay, should not be taxed. What do your estimates from part (a) imply about the fairness of the tax? Explain your reasoning.