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A manufacturer believes that the cost function 3 C(æ) = a² + 51@ + 920 approximates the dollar cost of producing æ units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $183. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production? The manufacturer can make up to units and still make a profit. This leads to a total cost of $ |

A manufacturer believes that the cost function 3 C(æ) = a² + 51@ + 920 approximates the dollar cost of producing æ units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $183. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production? The manufacturer can make up to units and still make a profit. This leads to a total cost of $ |

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A manufacturer believes that the cost function C(x) : 3 -x² + 51a + 920 approximates the dollar cost of producing x units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $183. What is the most units the manufacturer can produce and still make a profiť? What is the total cost at this level of production? The manufacturer can make up to units and still make a profit. This leads to a total cost of $
Transcribed Image Text:A manufacturer believes that the cost function C(x) : 3 -x² + 51a + 920 approximates the dollar cost of producing x units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $183. What is the most units the manufacturer can produce and still make a profiť? What is the total cost at this level of production? The manufacturer can make up to units and still make a profit. This leads to a total cost of $
A retail company estimates that if it spends e thousands of dollars on advertising during the year, it will realize a profit of P(x) dollars, where P(x) = – 0.25² + 180x + 1000, where 0 < æ < 437. a. What is the company's marginal profit at the $320000 and $390000 advertising levels? P'(320) = Р(390) — b. What advertising expenditure would you recommend to this company? $
Transcribed Image Text:A retail company estimates that if it spends e thousands of dollars on advertising during the year, it will realize a profit of P(x) dollars, where P(x) = – 0.25² + 180x + 1000, where 0 < æ < 437. a. What is the company's marginal profit at the $320000 and $390000 advertising levels? P'(320) = Р(390) — b. What advertising expenditure would you recommend to this company? $
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