Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)equals0.2xsquaredminus0.4xplus6 .636, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

100 bicycles

Step-by-step explanation:

If C(x)= 0.2x²-0.4x+6.636

The general form of a quadratic expression is given as: ax²+bx+c

Therefore from C(x),

a=0.2, b=-0.4, c=6.636.

C(x) is a parabola with its "a" coefficient 0.2 being positive so the curve opens upward indicating that the vertex is a minimum.

We simply need to find the vertex of:

C(x)= 0.2x²-0.4x+6.636

This occurs when:

x = -b/(2a)

x = -(-0.4)/(2*0.2)

x = (0.4)/(0.4)

x = 1

Since x=1 at the vertex, the company should build 100 bicycles to minimize the average cost per bicycle.

answer: the answer is 127 degrees