   Chapter 10.3, Problem 2CP ### 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

# If C ( x )   =   0.01 x 2 +   20 x   +   2500 , form C ¯ ( x ) , the average cost function, and find the minimum average cost.

To determine

To calculate: The minimum average cost if the average cost function is C¯(x). And the cost function is C(x)=0.01x2+20x+2500.

Explanation

Given Information:

The function is C(x)=0.01x2+20x+2500.

Formula Used:

If the total cost function is C=C(x), then the per unit average cost function is

C¯=C(x)x

The average cost per unit is defined if no units are produced.

Calculation:

The provided information is:

If C(x)=0.01x2+20x+2500 form C¯(x), the average cost function.

The condition is as follows:

If the total cost function is C=C(x), then the per unit average cost function is

C¯=C(x)x

The average cost per unit is defined if no units are produced

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