Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). 5x3 + 5x? + 2, Osx 5 5 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) =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 28PPS
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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).
R = -
9
+ 5x2 + 2, 0 <x< 5
Find R'(x) and R"(x).
R'(x) =
R"(x)
%3D
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). R = - 9 + 5x2 + 2, 0 <x< 5 Find R'(x) and R"(x). R'(x) = R"(x) %3D 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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