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Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) = - 1/3+² + 9x + 38 (0 ≤ x ≤ 50) where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. (a) Find P'(x). P'(x) = (b) What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $13,000/quarter (x= 13)? (Round your answer to three decimal places.) $ per dollar spent on advertising What is the rate of change if it spends $31,000/quarter (x=31)? (Round your answer to three decimal places.) $ per dollar spent on advertising

Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) = - 1/3+² + 9x + 38 (0 ≤ x ≤ 50) where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. (a) Find P'(x). P'(x) = (b) What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $13,000/quarter (x= 13)? (Round your answer to three decimal places.) $ per dollar spent on advertising What is the rate of change if it spends $31,000/quarter (x=31)? (Round your answer to three decimal places.) $ per dollar spent on advertising

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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 Ex 2.6 Q13

Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) = x² + 9x +38 (0 ≤x≤50) - where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. (a) Find P'(x). P'(x) = (b) What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $13,000/quarter (x = 13)? (Round your answer to three decimal places.) per dollar spent on advertising What is the rate of change if it spends $31,000/quarter (x= 31)? (Round your answer to three decimal places.) $ per dollar spent on advertising
Transcribed Image Text:Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) = x² + 9x +38 (0 ≤x≤50) - where x (in thousands of dollars) is the amount of money Cunningham spends on advertising per quarter. (a) Find P'(x). P'(x) = (b) What is the rate of change of Cunningham's quarterly profit if the amount it spends on advertising is $13,000/quarter (x = 13)? (Round your answer to three decimal places.) per dollar spent on advertising What is the rate of change if it spends $31,000/quarter (x= 31)? (Round your answer to three decimal places.) $ per dollar spent on advertising
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