Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)equals=0.50.5xsquared2minus−0.2 0.2xplus+6.7566.756, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

20 Bicycles

Step-by-step explanation:

The function for the average cost,C(x) [in hundred of dollars] per bicycle whenever x hundred bicycles are built is given as:

The minimum value of C occurs at the axis of symmetry.

Axis of Symmetry,

Comparing with the standard form of a quadratic equation

a=0.5, b=-0.2

x=0.2 Hundreds =0.2 X 100 =20

When Aki's Bicycle Designs produces 20 Bicycles, the cost is minimized.