Average cost. A manufacturer incurs the following costs in producing x water ski vests in one day, for 0

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Average cost. A manufacturer incurs the following costs in
producing x water ski vests in one day, for 0 < x < 150:
fixed costs, $320; unit production cost, $20 per vest; equip-
ment maintenance and repairs, 0.05x² dollars. So, the cost of
manufacturing x vests in one day is given by
C(x) = 0.05x² + 20x + 320
0 < x < 150
Find local extrema of the average cost
function C(x) if any.
Selected
A.
Answer:
C(80) is a local
minimum.
Transcribed Image Text:Average cost. A manufacturer incurs the following costs in producing x water ski vests in one day, for 0 < x < 150: fixed costs, $320; unit production cost, $20 per vest; equip- ment maintenance and repairs, 0.05x² dollars. So, the cost of manufacturing x vests in one day is given by C(x) = 0.05x² + 20x + 320 0 < x < 150 Find local extrema of the average cost function C(x) if any. Selected A. Answer: C(80) is a local minimum.
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