Question

The average cost per hour in dollars of producing x riding lawn mowers is given by the following.

C(x) = 0.2x² +21x-273 +(2800/x)

(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost.
(b) What is the minimum average cost?

Answer 1

Given:

$C(x)=0.2x^2+21x-273+\frac{2800}{x}$

Find-:

(a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize the average cost.

(b) minimum average cost?

Sol:

Graph of function is: