Question

The profit (P) in dollars, for a company is modeled by the function P(x)=-750x^2+15,000x,where x is the number of items produced. For which values of x will the company lose money?

Answer 1

`-750x^2+15000x<0\\ -750x(x-20)<0\\ x\in(-\infty,0)\cup(20,\infty)`

But x must be a natural number, so the answer is
`x>20`.