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?
(a) 100 tabletops
(b) 120 tabletops
(c) 240 tabletops
(d) 480 tabletops

If we have a profit equal to "0", then P(x)=0
Therefore:
480x-2x²=0
2x(240-x)=0
We have two equations:
1)
2x=0
x=0/2
x=0

If the number of tabletops is 0; then the profit is $0.

2)
240-x=0
x=240

if the company produces 240 tabletops then the profit is 0$.

We have two solutions : 0 tabletops produced and 240 tabletops produced. 

C) 240 tabletops

C) 240 tabletops