Suppose a firm has two plants.  The costs are: TC = 30 + TC1 + TC2.. TC1 = 10Q1 + Q12 . TC2 = 10Q2 + .5Q22 . The firm’s demand is Pm = 80 - .5Qm. Find the firm’s profit-maximizing P* and Q*, outputs allocated to plants 1 and 2

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