Your college newspaper, The Collegiate Investigator, sells for 90A??c per copy. The cost of producing x copies of an edition is given by C(x) = 10 + 0.10x + 0.001x2 dollars.
(a) Calculate the marginal revenue R'(x) and profit P'(x) functions.
(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.
(c) The approximate (profit or loss?) from the sale of the 501st copy is $_____.
(d) For which value of x is the marginal profit zero?
(e) 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.