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The profit P (in thousands of dollars) for a company spending an amount s (in thousands...

The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is given by the following equation. P = − 1/10s^3 + 3s^2 + 600. Find the amount of money the company should spend on advertising in order to yield a maximum profit. Also, Find the point of diminishing returns.

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