A music store sells an average of 160 CDs per week at $24 each. The cost of producing x music CDs is C(x) = -0.003x² + 4.2x + 1000. A market survey indicates that for each 50¢ decrease in price, two additional CDs will be sold per week. Determine the demand, or price, function. a) 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 $24 each. The cost of producing x music CDs is C(x) = -0.003x² + 4.2x + 1000. A market survey indicates that for each 50¢ decrease in price, two additional CDs will be sold per week. Determine the demand, or price, function. a) 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.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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