Problema Solution
The profit (P) in dollars for a company is modeled by the function P(x)= -750x^2 + 15000x, 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 will loose money for all x such that P(x) < 0 or
-750x^2 + 15000x < 0 divide both sides by 750
-x^2 + 20x < 0
x(20 - x) < 0
by solving we find:
x < 0
20 - x > 0
or
x < 0
20 > x
for x element of (-~, 0)
x > 0
20 - x < 0
or
x > 0
20< x
for x element of (20, +~)
the company will lose money for x element of (-~, 0) U (20, +~).