The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the following function where S(x) and x are both measured in thousands of dollars. S(x) = -0.002x + 0,7x2 + 3x + 500 (0 sxs 200) Find S'(x), the rate of change of the sales with respect to the amount of money spent on advertising. s'(x) = At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $100,000? $ per thousand dollars of advertising At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $150,000? per thousand dollars of advertising Are Cannon's total sales increasing at a faster rate when the amount of money spent on advertising is $100,000 or $150,000? O $100,000 O $150,000 Need Help? Read It

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 39PS
icon
Related questions
Question

Photo contains question (thank you)

The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the following function where S(x) and x are both
measured in thousands of dollars.
S(x) = -0.002x³ + 0.7x² + 3x + 500
(0 < x< 200)
Find S'(x), the rate of change of the sales with respect to the amount of money spent on advertising.
S'(x) =
At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $100,000?
$
per thousand dollars of advertising
At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $150,000?
2$
per thousand dollars of advertising
Are Cannon's total sales increasing at a faster rate when the amount of money spent on advertising is $100,000 or $150,000?
O $100,000
O $150,000
Need Help?
Read It
Transcribed Image Text:The relationship between the amount of money x that Cannon Precision Instruments spends on advertising and the company's total sales S(x) is given by the following function where S(x) and x are both measured in thousands of dollars. S(x) = -0.002x³ + 0.7x² + 3x + 500 (0 < x< 200) Find S'(x), the rate of change of the sales with respect to the amount of money spent on advertising. S'(x) = At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $100,000? $ per thousand dollars of advertising At what rate (in dollars per thousand dollars of advertising) are Cannon's total sales increasing when the amount of money spent on advertising is $150,000? 2$ per thousand dollars of advertising Are Cannon's total sales increasing at a faster rate when the amount of money spent on advertising is $100,000 or $150,000? O $100,000 O $150,000 Need Help? Read It
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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