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6. Given a firm's demand function Q-90+2P=0 and its average cost function, AC=Q^2-8Q + 57 + 2/Q, find the level of output which (a) maximizes

6. Given a firm's demand function Q-90+2P=0 and its average cost function,

AC=Q^2-8Q + 57 + 2/Q, find the level of output which

(a) maximizes total revenue;

(b) minimizes marginal cost;

(c) maximizes profit.

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