Your college newspaper, The Collegiate Investigator, sells for 90 per copy. The cost of producing x copies of an edition is given by (x) 20 + 0.10x + 0.001x? 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 $ $ S per additional copy per additional copy Interpret the results. The approximate ---Select from the sale of the 501st copy is s (c) For which value of x is the marginal profit zero? copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = so the profit is at a maximum when you produce and sell copies. Need Help? Read It