You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 78 − 15Q, where Q = Q1 + Q2. The marginal costs associated with producing in the two plants are MC1 = 3Q1 and MC2 = 2Q2 How much output should be produced in plant 1 to maximize profits?     What price should be charged to maximize profits?   Please show work for all three questions   What price should be charged to maximize revenues?

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