Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 80+ 0.10x + 0.001x² dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue $ profit $ marginal revenue $ marginal profit $ Interpret the results. The approximate loss per additional copy per additional copy Interpret your answer. ✓ from the sale of the 501st copy is $ (c) For which value of x is the marginal profit zero? X = copies The graph of the profit function is a parabola with a vertex at x = copies. , so the profit is at a maximum when you produce and sell
Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by C(x) = 80+ 0.10x + 0.001x² dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. HINT [See Example 2.] R'(x) = P'(x) = (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 500 copies of the latest edition. revenue $ profit $ marginal revenue $ marginal profit $ Interpret the results. The approximate loss per additional copy per additional copy Interpret your answer. ✓ from the sale of the 501st copy is $ (c) For which value of x is the marginal profit zero? X = copies The graph of the profit function is a parabola with a vertex at x = copies. , so the profit is at a maximum when you produce and sell
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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