A monopolist faces a demand curve given by Q(P) = 50 1/2Q and faces a total cost curve given by TC(Q) = 20 + 40Q. This cost curve implies a constant marginal cost of MC = 40.

a) Find the inverse demand curve, or P(Q).

b) Find total revenue T R(Q) and write down the profit function (Q)

c) Find the marginal revenue curve MR(Q)

d) Find the profit-maximizing quantity Qm and price P m for the monopolist

e)What are the monopolist's profits? What is consumer surplus?