A monopoly faces an inverse demand curve, p(y) = 100 - 2y, and has constant marginal costs of 20.
(a) What is its profit-maximizing level of output? __________
(b) What is its profit-maximizing price? __________
(c) What is the socially optimal price of this firm? __________
(d) What is the socially optimal output of this firm? __________
(e) What is the deadweight loss due to the monopolistic behavior of this firm? __________
(f) Suppose this monopolist could operate as a perfectly discriminating monopolist and sell each unit of output at the highest price it would fetch. The deadweight loss in this case would be __________