Consider the following function, where R is the revenue (in thousands of dollars) and x is the advertising cost (in thousands of dollars). R = - 2x3 + 5x2 + 2, 0s x s7 9 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) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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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
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). x3 + 5x2 + 2, 0sxs7 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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