The profit function (in millions) for a beverage company for the years 2008 through 2015 can be approximated by f(x) = -28x² +560x - 779, where x = 8 corresponds to the year 2008. (a) During what year did a local maximum profit occur? (b) What was the maximum profit? C (a) A local extremum occurs at a critical number of f. Because the derivative exists for every x, the only critical number(s) occur where the derivative is zero. Find the derivative of f(x). f'(x) =

The profit function (in millions) for a beverage company for the years 2008 through 2015 can be approximated by f(x) = -28x² +560x - 779, where x = 8 corresponds to the year 2008. (a) During what year did a local maximum profit occur? (b) What was the maximum profit? C (a) A local extremum occurs at a critical number of f. Because the derivative exists for every x, the only critical number(s) occur where the derivative is zero. Find the derivative of f(x). f'(x) =

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 8CR

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