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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 2E
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Fundamental Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning