Question

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 1

Answer: 240 tabletops

Step-by-step explanation:

Answer 2

Answer:

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.