The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480x – 2x2. For what number of tabletops does the company make a profit of $0?

Set the profit equal to $0: 480x − 2x² = 0. Factoring gives 2x(240 − x) = 0, so x = 0 or x = 240. Of the choices, 240 tabletops gives a profit of $0.

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