Question

​Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per bicycle is given by​ C(x)=0.5x^2-1.5x+4.83 , where​ C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per​ bicycle?

Answer 1

Answer:

maximum of 2 bicycle

Step-by-step explanation:

Given the average cost per bicycle modeled by the equation

C(x) = 0.5x^2-1.5x+4.83

C(x) is in hundreds of dollars

x is number of bicycle

The number of bicycle that will minimize the cost occurs when dC/dx = 0

dC/dx = 2(0.5)x - 1.5

dC/dx = x - 1.5

Since dC/dx = 0

0 = x - 1.5

x = 0+1.5x = 1.5

Hence the shop should  buy maximum of 2 bicycle to minimize the cost