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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) -

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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) - 20 + 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) = 89.9 -0.002x X (6) 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 $ 45000 X profit 544880 marginal revenue 500 Xper additional copy marginal profit 5 88.0 X per additional copy Interpret the results, The approximate loss from the sale of the 501st copy is s c) For which value of x is the marginal profit zero? *-44950 X copies Interpret your answer. The graph of the profit function is a parabola with a vertex at 44500 so the profit is at maximum when you produce and sell 44250 copie 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) - 20 + 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) = 89.9 -0.002x X (6) 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 $ 45000 X profit 544880 marginal revenue 500 Xper additional copy marginal profit 5 88.0 X per additional copy Interpret the results, The approximate loss from the sale of the 501st copy is s c) For which value of x is the marginal profit zero? *-44950 X copies Interpret your answer. The graph of the profit function is a parabola with a vertex at 44500 so the profit is at maximum when you produce and sell 44250 copie

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