   Chapter 9.3, Problem 42E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Revenue If the total revenue function for a blender is R ( x )   = 36 x −   0.01 x 2 where x is the number of units sold, what is the average rate of change in revenue R ( x ) as x increases from 10 to 20 units?

To determine

To calculate: The average rate of change in revenue as x increases from 10 to 20 if the total revenue function for a blender is given by R(x)=36x0.01x2, where x is the number of units sold.

Explanation

Given Information:

If the total revenue function for a blender is given by,

R(x)=36x0.01x2

Where x is the number of units sold. The number of units sold increases from 10 to 20 units.

Formula used:

The average rate of change of a function y=f(x) from x=a to x=b is defined by

Average rate of change=f(b)f(a)ba

Calculation:

Consider the provided function for revenue,

R(x)=36x0.01x2

The number of units sold increases from 10 to 20 units.

For x=10, substitute 10 for x,

R(10)=36(10)0.01(10)2=3600.01(100)=3601=359

For x=20, substitute 20 for x,

R(20)=36(20)0

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