A music store sells an average of 160 CDs per week at each. The cost of producing x music CDs is C(x) = -0.003x² + 4.2x + 1000. A market survey indicates that for each 50g decrease in price, two additional CDs will be sold per week. a) Determine the demand, or price, function. b) What is the price of each CD when 170 are solu weekly and when 200 are sold weekly? c) Determine the revenue function d) Which of the following results in greater revenue: the sale of 170 CDs or the sale of 200 CDs? Justify your answer. e) Determine the profit function.
A music store sells an average of 160 CDs per week at each. The cost of producing x music CDs is C(x) = -0.003x² + 4.2x + 1000. A market survey indicates that for each 50g decrease in price, two additional CDs will be sold per week. a) Determine the demand, or price, function. b) What is the price of each CD when 170 are solu weekly and when 200 are sold weekly? c) Determine the revenue function d) Which of the following results in greater revenue: the sale of 170 CDs or the sale of 200 CDs? Justify your answer. e) Determine the profit function.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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