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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 =

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?

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