Question

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?
100 tabletops
120 tabletops
240 tabletops
480 tabletops

Answer 1

Set P(x) = 0: 480x − 2x^2 = 0 → 2x(240 − x) = 0, so x = 0 or x = 240. The positive nonzero solution is 240 tabletops.