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 for this firm? ________.
(d) What is the socially optimal level of output for 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 ________.