   Chapter 13.3, Problem 40E ### 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

# Demand The demand function for a certain product is given by p = 500 + 1000 q + 1 where p is the price and q is the number of units demanded. Find the average price as demand ranges from 49 to 99 units.

To determine

To calculate: The average price as demand ranges from 49 to 99 units where the demand function for a certain product is p=500+1000q+1 where p is the price and q is the number of units demanded.

Explanation

Given information:

It is provided that the demand function for a certain product is p=500+1000q+1 where p is the price and q is the number of units demanded.

Formula used:

Average value

The average value of a continuous function y=f(x) over the interval [a,b] is:

Average value=1baabf(x)dx

Calculation:

The provided function is:

p=500+1000q+1

Since, the average price as demand ranges from 49 to 99 units is to be calculated.

Thus, the interval is [49,99]

Consider the formula:

Average value=1baabf(x)dx

Substitute 99 for b, 49 for a and 500+1000q+1 for S in above equation to get:

Average value=199494999(500

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