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Math Calculus Minimize Average Cost Help?

0 votes

Assume that it costs Microsoft approximately

C(x) = 48,400 + 550x + 0.01x2

dollars to manufacture x Xbox 360s in a day. 

a. How many Xboxes should be manufactured in order to minimize average cost? 

b.What is the resulting average cost of an xbox? (Give your answer to the nearest dollar)

asked Oct 18, 2014 in CALCULUS by anonymous

1 Answer

0 votes

(1).

The function is .

The average cost for box: image

Differentiate with respect to x.

image

For minimize average cost, image.

image

image

image

image

image.

The number of the boxes is 2,200.

(b).

Find the resulting average cost for x boxes.

Substitute x = 2,200 in the equation image

image

image

answered Oct 18, 2014 by casacop Expert

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