A manufacturer incurs the following costs in producing x water ski vests in one day, for0<x<200:fixed costs,$245;unit production cost,$15per vest; equipment maintenance and repairs,0.05x2dollars. So, the cost of manufacturing x vests in one given day is given byC(x)=0.05x2+15x+245,where0<x<200. (A)What is the average costC(x)per vest if x vests are produced in one day?(B)Find the critical numbers ofC(x),the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph

=>c(x)=0.05x^2+15x+245 =>c(x)=0.05x+15+245/x

Answered: A manufacturer incurs the following…

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Question

A manufacturer incurs the following costs in producing x water ski vests in one day, for

0<x<200:

fixed costs,

$245;

unit production cost,

$15

per vest; equipment maintenance and repairs,

0.05x2

dollars. So, the cost of manufacturing x vests in one given day is given by

C(x)=0.05x2+15x+245,

where

0<x<200.

(A)	What is the average cost C(x) per vest if x vests are produced in one day?
(B)	Find the critical numbers of C(x), the intervals on which the average cost per vest is decreasing, the intervals on which the average cost per vest is increasing, and the local extrema. Do not graph