Question

The cost c in dollars of manufacturing x bicycles at a production plant is given by th function shown below C(x)=5x^2-1000x+63,500. How many bicycles must be manufactured to minimize the cost

Answer 1

100 bicycle

Explanation:

Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.

x is the number of bikes

To minimize the cost, dC/dx = 0

dC/dx = 10x - 1000

Since dC/dx = 0

0 = 10x - 1000

-10x = -1000

x = 1000/10

x = 100

Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle