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A firm is selling its product in two markets. In market A the demand is given by Q A =100-2P, and in market B the

A firm is selling its product in two markets. In market A the demand is given by Q_A=100-2P, and in market B the demand is Q_b=80-4P. The firm's total cost is C=Q² /12, where Q=Q_A+Q_B.

Find the profit-maximizing outputs and prices in the two markets.

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