Suppose that a monopolist faces a demand curve given by Q = 100 2P. The monopolist has a total cost function equal to C(Q) = .5(Q)². There is a regulator who may impose various restrictions on the monopolist.

D. Instead, suppose that the regulator can impose a price ceiling on the monopolist. What is the price ceiling that maximizes total welfare? What is the level of total welfare?

E. Instead, suppose that the regulator forces the monopolist to pay a tax of $1 for each dollar of deadweight loss in the market. Find the equilibrium quantity, price, monopolist profit, and total welfare (including government revenue). How does efficiency (total welfare) compare to the unregulated, taxation, subsidy, and price ceiling cases?

F. Find the equilibrium quantity, price, monopolist profit, and total welfare (including government revenue) if the regulator's tax is $2 per dollar of deadweight loss.