Problema Solution
Aki's bicycle desings has determined that when x hundred bicycles are built, the average cost per bike is given by C(x)=0.2x^2-1.6x+8.735, where C(x) is in hundreds of dollars. How many bikes should the shop build to minimize the average cost per bike?
Answer provided by our tutors
C(x) = .2x^2-1.6x+8.735
C'(x) =.4x-1.6
for minimum:
C'(x) =0
==>.4x -1.6=0
==>x = 4
so,for 400 bicycle average cost will be minimum.