Marginal revenue function, etc., Microeconomics

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Consider a market that is served by a single-price monopolist with marginal cost given by MC = $100 + Q. The market demand is given by P = $800 – 3Q. Determine the following: the firm''s marginal revenue function, its profit-maximizing quantity, its profit-maximizing price, and its profit.

Suppose this firm decided to sell the perfectly competitive quantity at the perfectly competitive price. Calculate these two figures.

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