A bus will hold 60 people. The number x of people per trip who use the bus is related to the fare charged (p dollars) by the law p = [3 - (x/40)]^2. Write an expression for the total revenue r(x) per trip received by the bus company. What number of people per trip will make the marginal revenue dr/dx equal to zero? What is the corresponding fare? (This fare is the one that maximizes the revenue.)

A bus will hold 60 people. The number x of people per trip who use the bus is related to the fare charged (p dollars) by the law p = [3 - (x/40)]^2. Write an expression for the total revenue r(x) per trip received by the bus company. What number of people per trip will make the marginal revenue dr/dx equal to zero? What is the corresponding fare? (This fare is the one 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

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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