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Assume a duopoly in which the two firms are of equal size. The two firms face a market demand function: Q = 20 - 2*P

Assume a duopoly in which the two firms are of equal size. The two firms face a market demand function: Q = 20 - 2*P => P = 10 - 0.5*Q Each firm faces a marginal cost function: MCi = 2*Q where i = 1, 2 a. Derive the marginal revenue function (MR) for the for the cartel. b. Derive the marginal cost function (MC) for the cartel (MC). c. Determine the cartels output, Q*, and price, P*.

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