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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 11E
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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.
(c) Determine the maximum profit if the manufacturer can produce at most 21 in a year.
thousand dollars
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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