Assume that it costs approximately dollars to manufacture x Xbox 360s in a day.
C(x) = 62,500 + 550x + 0.01x^2
How many Xboxes should be manufactured in order to minimize average cost?

Question

Assume that it costs approximately dollars to manufacture x Xbox 360s in a day.
C(x) = 62,500 + 550x + 0.01x^2
How many Xboxes should be manufactured in order to minimize average cost?

anonymous · Answer

minimum at the first coordinate of the vertex, which is always $-\frac{b}{2a}$
in your example it is $-\frac{550}{2\times (0.01)}$ which unfortunately is negative
is there a typo in the problem?

anonymous · Answer

I dont think so, that is how the problem is written. Is there another way I could try to solve this problem?