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1) Firm A is a monopolist with cost C = 3q 2 + 5q + 100. The market demand is Q = 75 - 0.5P.

1) Firm A is a monopolist with cost C = 3q2+ 5q + 100. The market demand is Q = 75 - 0.5P. What is Firm A's optimal single-price monopoly price?

2) Imagine an industry in which the inverse demand function is P = 1000 - 0.5Q, and there is only one firm, a perfectly price discriminating monopoly with a cost function of C = 0.75Q2+ 200Q + 16000. What quantity will the monopolist produce?

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