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) = 50+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 $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate ---Select--- ✓ from the sale of the 501st copy is $ ---Select--- profit l profit zero? (c) For which value of x is loss x = copies Interpret your answer. 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) = 50+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 $ per additional copy marginal profit $ per additional copy Interpret the results. The approximate ---Select--- ✓ from the sale of the 501st copy is $ ---Select--- profit l profit zero? (c) For which value of x is loss x = copies Interpret your answer. 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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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