math
posted by Anonymous on .
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?

For the company to lose money, p(x)<0
We have: p(x)=x(15000750x)
And since x is the number of items produced ==> x>0
Thus, 15000750x<0;
750x>15000;
x>20
Therefore, the company loses money for x>20 items 
The range of f(x) = ax + b is the set of all real numbers given that a and b are real numbers. Which produces a counter example to her statement?