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Maximizing profit the management of trappee and sons

Question: MAXIMIZING PROFIT The management of Trappee and Sons, producers of the famous TexaPep hot sauce, estimate that their profit (in dollars) from the daily production and sale of x cases (each case consisting of 24 bottles) of the hot sauce is given by

P(x) = -0.000002x³ + 6x - 400

What is the largest possible profit Trappee can make in 1 day?

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Mathematics: Maximizing profit the management of trappee and sons

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