The profit a company makes from producing x tabletops is modeled by the equation cap p times x is equal to 480 x minus 2 x squared For what number of tabletops does the company make a profit of 0 dollars ?

Set the profit equal to 0: 480x − 2x² = 0. Factoring gives x(480 − 2x) = 0, so x = 0 or x = 240. The positive production amount is 240 tabletops, matching choice C.

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