5. Tom is a monopolist input supplier to Dick and Harry. Tom's marginal cost is 1. Dick and Harry are duopolists with production function q = x1/2. No firm has fixed costs. The demand for the final product is given by Q = 100 - p. a) Assume Dick and Harry buy the input from Tom at price k. What are their cost functions? b) Find the Cournot equilibrium quantities. c) What price, k, should Tom set? d) Now suppose Dick could buy Tom's firm and stop supplies of the input to Harry so that Dick would be a monopolist. How much is Dick willing to pay for Tom's firm? e) How much is Tom willing to sell his firm for