Mathematics, 14.06.2020 02:57 rapryce
When a company produces and sells x thousand units per week, its total weekly profit is P thousand dollars, where Upper P equals StartFraction 1000 x Over 100 plus x squared EndFraction . The production level at t weeks from the present is x equals 4 plus 2 t. Find the marginal profit, StartFraction dY Over dx EndFraction and the time rate of change of profit, StartFraction dP Over dt EndFraction . How fast (with respect of
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![={\tfrac{\mathrm{d}}{\mathrm{d}x}\left[\dfrac{1000x}{x^2+100}\right]}}\\\\={1000\cdot{\tfrac{\mathrm{d}}{\mathrm{d}x}\left[\dfrac{x}{x^2+100}\right]}}}}\\\\](/tpl/images/0685/7048/7baf6.png)
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