A retail company estimates that if it spends x thousands of dollars on advertising during the year, it will realize a profit of P(x) dollars, where P(x) = – 0.5x² + 80x + 2000, where 0 < x < 150. a. What is the company's marginal profit at the $60,000 and $100,000 advertising levels? P' (60) P'(100) b. What advertising expenditure would you recommend to this company? 2$ Get Help: Video еBook

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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A retail company estimates that if it spends x thousands of dollars on advertising during the year, it will realize a
profit of P(x) dollars, where P(x) = – 0.5x² + 80x + 2000, where 0 < x < 150.
a. What is the company's marginal profit at the $60,000 and $100,000 advertising levels?
P' (60)
P'(100)
b. What advertising expenditure would you recommend to this company?
2$
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Transcribed Image Text:A retail company estimates that if it spends x thousands of dollars on advertising during the year, it will realize a profit of P(x) dollars, where P(x) = – 0.5x² + 80x + 2000, where 0 < x < 150. a. What is the company's marginal profit at the $60,000 and $100,000 advertising levels? P' (60) P'(100) b. What advertising expenditure would you recommend to this company? 2$ Get Help: Video еBook
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Algebra and Trigonometry (MindTap Course List)
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