The profit a company makes from producing x tabletops is modeled by the equation p (x) = 480x minus 2x squared. For what number of tabletops does the company need to make a profit of zero dollars?

Answer: 240 tabletops

240 table tops or none

Step-by-step explanation:

p (x) = 480x - 2x^2

For profit to be 0, it means;

p (x) = 0

Therefore 480x - 2x^2 = 0

Dividing through by 2 we have;

240x - x^2 = 0

By factorisation of x we have;

(240-x) x = 0

x = 0 or 240-x = 0; x = 240 (by moving x to the right of the expression:240-x = 0; we have 240=x = > x=240).

So the company needs to produce 240 table tops or none in order not to make a profit.