   Chapter 13.3, Problem 37E ### 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

# Cost The cost of producing x smart phones is C ( x )   =   x 2 +   400 x   +   2000 .(a) Use C ( x ) to find the average cost of producing 1000 smart phones.(b) Find the average value of the cost function C ( x ) over the interval from 0 to 1000.

(a)

To determine

To calculate: The average cost of producing 1000 smart phones where the cost of producing x smart phones is C(x)=x2+400x+2000.

Explanation

Given information:

The provided Cost function is:

C(x)=x2+400x+2000

Formula used:

Average Cost:

The average Cost of producing x products is given by:

C¯(x)=C(x)x

Calculation:

The provided function is:

C(x)=x2+400x+2000

Consider the formula:

C¯(x)=C(x)x

Substitute x2+400x+2000 for C(x) in abov

(b)

To determine

To calculate: The average value of the cost function C(x) over the interval from 0 to 1000 where the cost of producing x smart phones is C(x)=x2+400x+2000.

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