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The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand...

The total profit Upper P(x) ​(in thousands of​ dollars) from the sale of x hundred thousand pillows is approximated by:

P(x) = -x^3 + 9x^2 + 165x - 200 , x ≥ 5

Find the number of hundred thousands of pillows that must be sold to maximize profit. Find the maximum profit.

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