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 2 items per year. P(  ) Calculate that value.  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 =  (smaller value) N =  (larger value) (c) Determine the maximum profit if the manufacturer can produce at most 21 in a year.  thousand dollars

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
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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 2 items per year.
P(  )

Calculate that value.
 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 =  (smaller value)
N =  (larger value)

(c) Determine the maximum profit if the manufacturer can produce at most 21 in a year.
 thousand dollars
 
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