A company estimates that it will sell N(x) units of a product after spending Sx thousand on advertising, as given by N(x) = - 0.25x* + 22x³ - 472.5x? + 83,000, where 21sxs45. 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 change of sales? Graph N and N' on the same coordinate system.
A company estimates that it will sell N(x) units of a product after spending Sx thousand on advertising, as given by N(x) = - 0.25x* + 22x³ - 472.5x? + 83,000, where 21sxs45. 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 change of sales? Graph N and N' on the same coordinate system.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A company estimates that it will sell N(x) units of a product after spending Sx thousand on advertising, as given by
N(x) = - 0.25x + 22x³ - 472.5x2 + 83,000, where 21 sxs45.
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 o
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.)
The rate of change of sales is decreasing on
(Type your answer in interval notation.)
The point of diminishing returns is
thousand dollars.
The maximum rate of change of sales is
sales per thousand dollars.
(Round to the nearest whole number as needed.)
Graph N and N' on the same coordinate system. Choose the correct answer below.
O A.
В.
с.
D.
110000-
110000-
110000-
110000-
N
N'
N'
N'
N'
0+
16
0-
16
0+
16
0+
16
50
50
50
50
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