A company has identified that the revenue R for a particular product is given by the equation R(x) =x3 – 40x² – 450x, where x is the number of units sold. How many units need to be sold to obtain the maximum revenue? Apply the second derivative test to verify that you obtain a maximum value.

A company has identified that the revenue R for a particular product is given by the equation R(x) =x3 – 40x² – 450x, where x is the number of units sold. How many units need to be sold to obtain the maximum revenue? Apply the second derivative test to verify that you obtain a maximum value.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter5: Graphs And The Derivative

Section5.CR: Chapter 5 Review

Problem 14CR

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A company has identified that the revenue R for a particular product is given by the equation
R(x) = x3 – 40x² – 450x, where x is the number of units sold. How many units need to be sold to
obtain the maximum revenue? Apply the second derivative test to verify that you obtain a maximum
value.

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