Question

Aki bicycle Design has determined that when x hundred bicycle are built, the average cost per bicycle by C(x)=0.2^2- 1.5x+ 7.063 where C(x) is in hundred of dollars. How many bicycle should the shop build to minimize the average cost per bicycle?

Answer 1

I guess C(x)=0.2x^2-1.5x+7.063
If you know how to find the derivative than it is really easy as the function has a min/max where the derivative equals 0.
c'(x)=0.4x-1.5
min where
0=0.4x-1.5
x= 3.75

If you dont know this way than you can solve it by completing the square.