Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). R = - Lx3 + 7x2 + 5, 0 sxS 5 Find R'(x) and R"(x). R'(x) = 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) =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
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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).
7 ,3
x³ + 7x2 + 5, 0<x< 5
9
R = -
Find R'(x) and R"(x).
R'(x) =
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)
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). 7 ,3 x³ + 7x2 + 5, 0<x< 5 9 R = - Find R'(x) and R"(x). R'(x) = 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)
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