74. Maximizing revenue A sales analyst determines that the revenue from sales of fruit smoothies is given by R(x) = -60 x² +300 x, where x is the price in dollars charged per item, for 0≤x≤5. a. Find the critical points of the revenue function. b. Determine the absolute maximum value of the revenue function and give the price that maximizes the revenue.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
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74. Maximizing revenue A sales analyst determines that the revenue from sales of fruit smoothies is given by R(x) = -60 x² +300 x, where x is the price in
dollars charged per item, for 0≤x≤ 5.
a. Find the critical points of the revenue function.
b. Determine the absolute maximum value of the revenue function and give the price that maximizes the revenue.
Transcribed Image Text:74. Maximizing revenue A sales analyst determines that the revenue from sales of fruit smoothies is given by R(x) = -60 x² +300 x, where x is the price in dollars charged per item, for 0≤x≤ 5. a. Find the critical points of the revenue function. b. Determine the absolute maximum value of the revenue function and give the price that maximizes the revenue.
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