Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
Problem 36PS
Related questions
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 |
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