Find the rate of change of total profit, in dollars, with respect to time where R(x) = 80x - 0.5x² and dx C(x) = 30x + 6, when 10. dt = 40 and Select an answer ✓

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The problem asks for the rate of change of total profit with respect to time. The given functions are:

- Revenue, \( R(x) = 80x - 0.5x^2 \)
- Cost, \( C(x) = 30x + 6 \)

We need to find this rate when:
- \( x = 40 \)
- \( \frac{dx}{dt} = 10 \)

A dropdown box is present for selecting an answer.
Transcribed Image Text:The problem asks for the rate of change of total profit with respect to time. The given functions are: - Revenue, \( R(x) = 80x - 0.5x^2 \) - Cost, \( C(x) = 30x + 6 \) We need to find this rate when: - \( x = 40 \) - \( \frac{dx}{dt} = 10 \) A dropdown box is present for selecting an answer.
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