2. The profits of Mr. Unlucky's business can be represented by the function P(t) = -3t² + 18t - 4, where P(t) is the company's profit in hundreds of thousands of dollars and t is the time in years. He realizes his company is on the downturn and wishes to sell before he goes in debt. a. When will Mr. Unlucky's business show the maximum profit? b. What is the maximum profit? c. After how many years will the company be in debt?
2. The profits of Mr. Unlucky's business can be represented by the function P(t) = -3t² + 18t - 4, where P(t) is the company's profit in hundreds of thousands of dollars and t is the time in years. He realizes his company is on the downturn and wishes to sell before he goes in debt. a. When will Mr. Unlucky's business show the maximum profit? b. What is the maximum profit? c. After how many years will the company be in debt?
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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Transcribed Image Text:2. The profits of Mr. Unlucky's business can be represented by the function P(t) = -3t² + 18t-
4, where P(t) is the company's profit in hundreds of thousands of dollars and t is the time in
years. He realizes his company is on the downturn and wishes to sell before he goes in debt.
When will Mr. Unlucky's business show the maximum profit?
a.
b. What is the maximum profit?
C. After how many years will the company be in debt?
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