Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). R= - + 5x2 + 2, 0s xs7 Find R'(x) and R"(x). R'(x) - + 10x 3 10x + 10 R"(x) = Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. (x, R) = ( 3,32

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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Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars).
= -x3 + 5x2 + 2, 0sxs7
5 3
Find R'(x) and R"(x).
R'(x) =
+ 10x
3
10x
R"(x) =
+ 10
3
Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results.
(x, R) = ( 3,32
Transcribed Image Text:Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). = -x3 + 5x2 + 2, 0sxs7 5 3 Find R'(x) and R"(x). R'(x) = + 10x 3 10x R"(x) = + 10 3 Find the point of diminishing returns for the function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). Use a graphing utility to verify your results. (x, R) = ( 3,32
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