A monopolist maximizes its profit at the point where
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monopoly can maximize its profit by producing at an output level at which its marginal revenue is equal to its marginal cost. A monopolist faces a downward-sloping demand curve which means that he must reduce its price in order to sell more units.
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The monopolist will select the profit-maximizing level of output where MR = MC, and then charge the price for that quantity of output as determined by the market demand curve. If that price is above average cost, the monopolist earns positive profits.
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