Question

Suppose that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find the average cost per radio of producing the first 40 radios.

Answer 1

24radios

Explanation:

Given that the dollar cost of producing x ratios is c(x)=800+40x-0.2x^2. Find

Average cost is expressed as dC(x)/dx

dC(x)/dx = 40-0.4x

C'(x) = 40 - 0.4x

If x = 40

C'(40) = 40 - 0.4(40)

C'(40) = 40 - 16

C'(40) = 24

Hence the average cost per radio of producing the first 40 radios is 24radios