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

Step-by-step explanation:

Since we are not given the cost function, let the cost function be expressed as C(x) = 0.2x²-2.6x+9.950

where C(x) is in hundreds of dollars.

x is the number of bicycle built

In order to minimize the average cost of the bicycle, then d(C(x))/dx = 0

d(C(x))/dx = 2(0.2)x²⁻¹ - 2.6

d(C(x))/dx = 2(0.2)x- 2.6

d(C(x))/dx = 0.4x- 2.6

Since d(C(x))/dx =0, then;

0.4x - 2.6 = 0

0.4x = 2.6

x = 2.6/0.4

x = 6.5

Hence around 6 bicycles should be built by the shop to minimize the average cost per bicycle

answer: a clock

step-by-step explanation:

good luck on your studies! : )

david edward.