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5:00
Khan Academy
Profit maximization
Learn how firms maximize profit by producing a quantity where marginal cost equals marginal revenue. In a competitive market, firms are price-takers, and marginal revenue is constant. Rational firms will produce more if marginal revenue is higher than marginal cost. Profit is maximized when the area of the rectangle formed by average total cost ...
Feb 19, 2019
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For students who like calculus: You can show the condition for profit maximization easily using calculus. Define T P(q)= total profits, T C(q)= total costs, and T R(q)= total revenues. Marginal this-or-that is the derivative of this-or-that with respect to output, so d T R / d q=T R^'(q)=M R= marginal revenue. a. Explain why T P=T R-T C b. Show that a maximum of the profit function comes where T C^'(q)=T R^'(q) . Interpret this finding. | Numerade
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SOLVED: A firm has the following total-cost and total revenue functions. What is the profit-maximizing level of output (Q*)? € = 1/3Q^3 7Q^2 111Q 50, R = 100Q, Q > 0. a. 3 b. 17 c. 11 d. 19.3
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