J's bike has determined that when x hundred bikes are built, the average cost per bike is given by C(x)= 0.1x^2-1.2x+4.993, where C(x) is in hundreds of dollars. how many bikes should the shop build to minimize the average cost per bike?

2 answers

C(x) is just a parabola, with minimum value at

x = 1.2/0.2 = 6

so, 600 bikes will minimize the average cost per bike
thanks Steve if I was to figure avg cost
3.6-7.2+4.493=.893 times 100
for a total of $89.30 per bike??