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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?

  • math -

    For the company to lose money, p(x)<0
    We have: p(x)=x(15000-750x)
    And since x is the number of items produced ==> x>0
    Thus, 15000-750x<0;
    750x>15000;
    x>20

    Therefore, the company loses money for x>20 items

  • math -

    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?

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