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)=0.1x^2-1.5x+10.163, 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) = 0.1x^2 -1.5x +10.163
For minimize, x = -b/(2a) = -(-1.5)/(2*0.1) = 7.5
So shop should produce 7.5 * 100 = 750 bicycles to minimize the cost