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A monopolist has a constant marginal and average cost of $10 and faces a demand curve of Q(D) = 1000 - 10P. Marginal revenue is

A monopolist has a constant marginal and average cost of $10 and faces a demand curve of Q(D) = 1000 - 10P. Marginal revenue is given by MR = 100 - 1/5Q.

a. Calculate the monopolists's profit-maximizing quantity, price, and profit.

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