A manufacturer believes that the cost function C(x) The manufacturer can make up to This leads to a total cost of $ = 5 2 -x² + 60x + 960 2 approximates the dollar cost of producing a units of a product. The manufacturer believes cannot make a profit when the marginal cost goes beyond $250. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production? units and still make a profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
A manufacturer believes that the cost function
C(x) =
=
The manufacturer can make up to
This leads to a total cost of $
5
2
x²
+ 60x + 960
approximates the dollar cost of producing a units of a product. The manufacturer believes it cannot
make a profit when the marginal cost goes beyond $250. What is the most units the manufacturer can
produce and still make a profit? What is the total cost at this level of production?
units and still make a profit.
Transcribed Image Text:A manufacturer believes that the cost function C(x) = = The manufacturer can make up to This leads to a total cost of $ 5 2 x² + 60x + 960 approximates the dollar cost of producing a units of a product. The manufacturer believes it cannot make a profit when the marginal cost goes beyond $250. What is the most units the manufacturer can produce and still make a profit? What is the total cost at this level of production? units and still make a profit.
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