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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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
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The Profit P in thousand of dollars is given by P=-0.2N2+3.6N-9 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 

P4=-0.2N2+3.6N-9

 

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