SOLUTION: The profit (P), in dollars, for a company is modeled by the function P(x) = -750x² + 15000x, where <B>x</B> is the number of items produced. For what values of x will the company

Algebra ->  Functions -> SOLUTION: The profit (P), in dollars, for a company is modeled by the function P(x) = -750x² + 15000x, where <B>x</B> is the number of items produced. For what values of x will the company       Log On


   

Question 1150672: The profit (P), in dollars, for a company is modeled by the function P(x) = -750x² + 15000x, where x is the number of items produced. For what values of x will the company lose money?
One of these answer choices may be the best answer choice.

  • x < 2

  • 2 < x ≤ 10

  • 10 ≤ x < 20

  • x > 20


(For your information, this function DOES require graphing.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The profit (P), in dollars, for a company is modeled by the function P(x) = -750x² + 15000x, where x is the number of items produced.
For what values of x will the company lose money?
-750x² + 15000x < 0
Factor out -x
-x(750x- 15000) < 0
multiply by -1, reverses inequality sign
x(750x - 15000) > 20
750x > 15000
x > 15000/750
x > 20
:
Graphically, no of items on the x axis, profit on y axis
+graph%28+300%2C+200%2C+-10%2C+25%2C+-50000%2C+100000%2C+-750x%5E2%2B15000x%29+
x > 20 is the answer