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3 N(x) = - 0.25x" + 22x° - 432x + 79,000 4 2 %3D

3 N(x) = - 0.25x" + 22x° - 432x + 79,000 4 2 %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section3.4: Slope-intercept Form
Problem 73PFA
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Question 12

Solve this problem on separate paper. Make sure to show all supporting work (including the algebra that you use to solve any equations). Don't forget the interpretation! A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = - 0.25x* + 22x° - 432x + 79,000 where 18<x<48. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Interpret the meaning of the point of diminishing returns in context to this problem. 4 3
Transcribed Image Text:Solve this problem on separate paper. Make sure to show all supporting work (including the algebra that you use to solve any equations). Don't forget the interpretation! A company estimates that it will sell N(x) units of a product after spending $x thousand on advertising, as given by N(x) = - 0.25x* + 22x° - 432x + 79,000 where 18<x<48. When is the rate of change of sales increasing and when is it decreasing? What is the point of diminishing returns and the maximum rate of change of sales? Interpret the meaning of the point of diminishing returns in context to this problem. 4 3
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