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Consider an upstream and downstream monopolist problem. The upstream monopolist sells inputs, 3, to the downstream monopolist at the price :1 and faces the cost of producing output C(m) = 2032/2 with the marginal cost 209:. The downstream monopolist uses the inputs to produce output, 9, with the production flmction y = :3. The downstream monopolist faces the inverse demand curve p(y) = 200 10y with marginal revenue M Rdwngream = 200 20y and faces the cost function C(y) = qy with marginal cost of q per unit of output. (Hint: The marginal revenue of the upstream monopolist is Maw\"... = 200 403:.) 8.) Calculate q, p, y and 2:. Additionally calculate the the prot for both the upstream and downstream monopolist. b) Suppose the downstream monopolist purchased the upstream monopolist, what would be the values of my and 2:. Note that the rm no longer has to pay (1 because they produce the input themselves