Problema Solution
The profit (P), in dollars, for a company is modeled by the functions P(x) = -750x2+ 15,000x, where x is the number of items produced. For which values of x will the company lose money?
Answer provided by our tutors
the company is losing money for the values of x, x>0, such that which P(x) < 0 or
-750x^2+ 15,000x < 0
in other words the company is losing values for all the x for which the graph of P(x) = -750x2+ 15,000x is under the x - axis
by solving
-750x^2+ 15,000x < 0
we find:
x > 20
click here to see the step by step solution of the inequality:
the company is losing money is more that 20 items are produced.