Brian's coffee shop finds that its weekly profit (measured in dollars) is given by the function p(x) = −1600x2+ 8000x − 1500 where p(x) measures the weekly profit (in dollars), and where x is the price (in dollars) that Brian's shop charges for each coffee. Determine the maximum weekly profit earned by Brian's coffee shop, and determine the price for a coffee that determines the maximum profit.

Brian's coffee shop finds that its weekly profit (measured in dollars) is given by the function p(x) = −1600x2+ 8000x − 1500 where p(x) measures the weekly profit (in dollars), and where x is the price (in dollars) that Brian's shop charges for each coffee. Determine the maximum weekly profit earned by Brian's coffee shop, and determine the price for a coffee that determines the maximum profit.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.1: Quadratic Functions

Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...

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