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3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² +12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?

3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² +12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?

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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3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² + 12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?
Transcribed Image Text:3. The profit of a certain cellphone manufacturer can be represented by the function p(x) = -2000x² + 12000x + 126000 where p is the profit in dollars and a is the production level in thousands of units. How many units should be produced to maximize profit? What is the maximum profit?
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