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 +22x³-432x² +75,000, 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? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.)

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 +22x³-432x² +75,000, 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? Graph N and N' on the same coordinate system. The rate of change of sales is increasing on (Type your answer in interval notation.)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

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 +22x³-432x² + 75,000, 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? Graph N and N' on the same coordinate system.
The rate of change of sales is increasing on
(Type your answer in interval notation.)
GEZET

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