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A company has determined that the profit, in dollars, it can expect from the manufacture and sale of tennis racquets is given by P = −0.01x2 + 130x − 180,000. How many racquets should the company manufacture and sell to earn a profit of $174,900?

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just solve for x in the equation

−0.01x2 + 130x − 180,000 = 174900

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