Maximizing revenue A sales analyst determines that the revenuefrom sales of fruit smoothies is given by R(x) = -60x2 + 300x,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 functionand the price that maximizes the revenue.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.7: Solving Inequalities
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Maximizing revenue A sales analyst determines that the revenue
from sales of fruit smoothies is given by R(x) = -60x2 + 300x,
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 the price that maximizes the revenue.

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