Question

The cost of manufacturing
x items is given by c(x)=x^3-20x^2+20000x. calculate the production level that will minimize the average cost of making x item​

Answer 1

Answer:

10

Step-by-step explanation

This is a problem of differentiation.

• minimum of any function is given by equating the first differentiation to zero.

Avg cost = $C(x)/x$ = $(x^{3} - 20 x^{2} +20000x )/x$ = $x^{2} - 20 x^{1} +20000x$

$d(Avg Cost)/dx = 2x - 20$

Put = 0

x = 10