The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows P= -0.2N² + 3.6N - 9 (a) Express using functional notation the profit at a production level of 4 items per year. P4 Calculate that value. 2.2 thousand dollars
The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows P= -0.2N² + 3.6N - 9 (a) Express using functional notation the profit at a production level of 4 items per year. P4 Calculate that value. 2.2 thousand dollars
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of items produced in a year, and the formula is as follows.
P= -0.2N² + 3.6N - 9
(a) Express using functional notation the profit at a production level of 4 items per year.
P4
Calculate that value.
2.2
thousand dollars
(b) Determine the two break-even points for this manufacturer-that is, the two production levels at which the profit is zero.
N =
N =
(smaller value)
(larger value)
(c) Determine the maximum profit if the manufacturer can produce at most 22 in a year.
-26.6
Xthousand dollars
Expert Solution

Step 1
The Profit P in thousand of dollars is given by where N is the number of items produced.
(a) The functional notation to express profit at a production level of 4 items per year is given by
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