   Chapter 13, Problem 48RE ### 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

# Average cost Suppose the cost function for x units of a product is given by C ( x ) = 40 , 000 + x 2 dollars. Find the average cost over the first 150 units.

To determine

To calculate: The average cost over the first 150 units where the cost function for x units of the product is given by C(x)=40,000+x2 dollars.

Explanation

Given information:

The cost function for x units of the product is given by C(x)=40,000+x2 dollars.

Formula used:

Average cost,

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

Average cost=1baabf(x)dx

Integration formula,

For the variable x and constant a which belongs to R, the integral of x2a2dx is given by:

x2a2dx=12(xx2a2a2(x+x2a2))

Calculation:

Consider the cost function,

C(x)=40,000+x2

And the range is from [0,150]

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