Profit Maximization with a Discontinuous Marginal Cost
Analyze the following scenario to determine the profit-maximizing quantity of tables for the firm to produce and the resulting monthly profit. Justify your answer by explaining how the relationship between market price and the cost of producing an additional unit informs the decision.
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A competitive, price-taking farm sells its corn in a market where the price is $7 per bushel. The farm is currently producing 2,000 bushels, and at this level of output, its marginal cost is $6 per bushel. Assume the farm's marginal cost increases as it produces more corn. To maximize its profit, what action should the farm take?
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A company that produces widgets operates in a perfectly competitive market and sells its product at a constant price of $15 per unit. The table below shows the company's marginal cost for producing each additional widget. To maximize its profit, how many widgets should the company produce?
Quantity of Widgets Marginal Cost ($) 1 5 2 7 3 9 4 12 5 15 6 19 7 25 Profit Maximization with a Discontinuous Marginal Cost
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