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)=70+ 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. per additional copy per additional copy The approximate ---Select--- from the sale of the 501st copy is $ (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 = when you produce and sell copies. so the profit is at a maximum The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon." The society will charge students $1.10 per serving of pasta. The society estimates that the total cost of producing x servings of pasta at the event will be C(x) = 340 +0.10x + 0.002x² dollars. (a) Calculate the marginal revenue R'(x) and profit P'(x) functions. R'(x) P'(x) (b) Compute the revenue and profit, and also the marginal revenue and profit, if you have produced and sold 200 servings of pasta (in $). revenue profit marginal revenue per additional plate marginal profit per additional plate Interpret the results. The approximate ---Select--- from the sale of the 201st plate of pasta is $ (c) For which value of x is the marginal profit zero? x = plates Interpret your answer. The graph of the profit function is a parabola with a vertex at x = produce and sell plates. , so the loss is at a minimum when you