Math Calculus Minimize Average Cost Help?

Question

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)

Answer 1

(1).

The function is .

The average cost for box:

Differentiate with respect to x.

For minimize average cost, .

.

The number of the boxes is 2,200.

(b).

Find the resulting average cost for x boxes.

Substitute x = 2,200 in the equation