The total revenue R (in millions of dollars) for a company is related to its advertising expense by the function R = 0.00002(-x³ + 600x²), 0≤x≤ 400 where x is the amount spent on advertising (in tens of thousands of dollars). Use the graph of this function, shown in the figure to estimate the point (x, R) on the graph at which the function is increasing most rapidly. This point is called the point of diminishing returns because any expense above this amount will yield less return per dollar invested in advertising. x = ---Select--- ten thousand dollars R= million dollars Revenue (in millions of dollars) R 600 500 400 300 200 100 100 200 300 Advertising expense (in tens of thousands of dollars) 400 X
The total revenue R (in millions of dollars) for a company is related to its advertising expense by the function R = 0.00002(-x³ + 600x²), 0≤x≤ 400 where x is the amount spent on advertising (in tens of thousands of dollars). Use the graph of this function, shown in the figure to estimate the point (x, R) on the graph at which the function is increasing most rapidly. This point is called the point of diminishing returns because any expense above this amount will yield less return per dollar invested in advertising. x = ---Select--- ten thousand dollars R= million dollars Revenue (in millions of dollars) R 600 500 400 300 200 100 100 200 300 Advertising expense (in tens of thousands of dollars) 400 X
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:The total revenue R (in millions of dollars) for a company is related to its advertising expense by the function
R = 0.00002(-x³ + 600x²), 0≤x≤ 400
where x is the amount spent on advertising (in tens of thousands of dollars). Use the graph of this function, shown in the figure to
estimate the point (x, R) on the graph at which the function is increasing most rapidly. This point is called the point of
diminishing returns because any expense above this amount will yield less return per dollar invested in advertising.
x = ---Select--- ten thousand dollars
R=
million dollars
Revenue
(in millions of dollars)
R
600
500
400
300
200
100
100
200
300
Advertising expense
(in tens of thousands of dollars)
400
X
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