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Question: When a company produces and sells x


When a company produces and sells x thousand units per week, its total weekly profit is P thousand dollars, where

P = 200x / (100 + x2).

The production level at t weeks from the present is x = 4 + 2t.
(a) Find the marginal profit, dP/dx.
(b) Find the time rate of change of profit, dP/dt.
(c) How fast (with respect to time) are profits changing when t = 8?

2.99

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