e *The profit function for a computer company is given by P(x) = −x² + 31x − 10 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand. more than less than (thousands of) units (thousands of) units

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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e
The profit function for a computer company is given by P(x) = −x² + 31x - 10 where x is the number of units
produced (in thousands) and the profit is in thousand of dollars.
a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit.
(thousands of) units =
maximum profit =
thousand dollars
b) Determine how many units should be produced for a profit of at least 40 thousand.
(thousands of) units
more than
less than
(thousands of) units
Transcribed Image Text:e The profit function for a computer company is given by P(x) = −x² + 31x - 10 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand. (thousands of) units more than less than (thousands of) units
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