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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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter2: Equations And Inequalities
Section2.5: Quadratic Equations
Problem 49SE: Beginning with the general form of a quadratic equation, ax2+bx+c=0 , solve for xby using the...
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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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