Question

The average cost per hour in dollars of producing x riding lawn mowers is given by the following.
Upper C overbar left parenthesis x right parenthesis equals 0.5 x squared plus 23 x minus 216 plus StartFraction 2600 Over x EndFractionC(x)=0.5x2+23x−216+
2600
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

Answer:

The number of riding lawn mowers to produce in  order to minimize the average cost is 9 and the minimum average cost is $320.39

Step-by-step explanation:

we have

$C(x)=0.5x^2+23x-216+\frac{2,600}{x}$

where

C(x) is the average cost

x is the number of riding lawn mowers

using a graphing tool

The minimum point is the ordered pair (9,320.39)

see the attached figure

therefore

The number of riding lawn mowers to produce in  order to minimize the average cost is 9 and the minimum average cost is $320.39