Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)

=0.1x^2−1.4x+8.096​, where​ C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per​ bicycle?

1 answer

C(x) is just a parabola. Its minimum value is at the vertex, where

x = -b/2a = 7