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) 90 = P'(x)=90 0.10 -0.002x (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. $ 45000 revenue profit marginal revenue You may have forgotten to multiply or divide by 100. $ 44500 $ 90 per additional copy marginal profit You may have forgotten to multiply or divide by 100. $ 89.00 per additional copy Interpret the results. The approximate loss ☑X from the sale of the 501st copy is $ 89.00 (c) For which value of x is the marginal profit zero? x = × copies Interpret your answer. The graph of the profit function is a parabola with a vertex at x = × copies. X, so the profit is at a maximum when you produce and sell