The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) x2 + 9x + 28 (0 s 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 $10,000/quarter (x = 10)? (Round your answer to three decimal places.) $ per dollar spent on advertising What is the rate three decimal places.) change if it spends $34,000/quarter (x = 34)? (Round your answer per dollar spent on advertising $

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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The quarterly profit (in thousands of dollars) of Cunningham Realty is given by
P(x)
x2 + 9x + 28
(0 s 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 $10,000/quarter (x = 10)? (Round your answer to three decimal places.)
$
per dollar spent on advertising
What is the rate
three decimal places.)
change if it spends $34,000/quarter (x = 34)? (Round your answer
per dollar spent on advertising
$
Transcribed Image Text:The quarterly profit (in thousands of dollars) of Cunningham Realty is given by P(x) x2 + 9x + 28 (0 s 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 $10,000/quarter (x = 10)? (Round your answer to three decimal places.) $ per dollar spent on advertising What is the rate three decimal places.) change if it spends $34,000/quarter (x = 34)? (Round your answer per dollar spent on advertising $
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