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[Solution Library] Find the point of diminishing returns for the profit function P (x) which represents profit in thousands of dollars and x represents

Question: Find the point of diminishing returns for the profit function P ( x ) which represents profit in thousands of dollars and x represents the amount spent on advertising in thousands of dollars. (The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline, i.e. the point of inflection.)

P ( x ) = –2 x 3 + 36 x 2 – 100 x + 200

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