The sales of a product produces revenue R(x) where x represents the amount spent on advertising. R(x) =- 1 (225x-x'), 05xS225 where x and R(x) are in thousands of dollars. How much should the 20,000 company spend in advertising to maximize revenue? Is there a point of diminishing returns (inflection point) for this model? If so, what is it?

The sales of a product produces revenue R(x) where x represents the amount spent on advertising. R(x) =- 1 (225x-x'), 05xS225 where x and R(x) are in thousands of dollars. How much should the 20,000 company spend in advertising to maximize revenue? Is there a point of diminishing returns (inflection point) for this model? If so, what is it?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

100%

The sales of a product produces revenue R(x) where x represents the amount spent on advertising,
R(x)3=
1
225x -x'),
0<x< 225 where x and R(x) are in thousands of dollars. How much should the
20,000
company spend in advertising to maximize revenue? Is there a point of diminishing returns (inflection point)
for this model? If so, what is it?
RCX)= X[p(x)]
RCX)= X
(225xY
20,000
ROX) = 9x3
B00
4
20,000
3.
R'CX)= -X
+ 27x2
5000
Boo
tion

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