SOLUTION: The total profit function,​ P(x), for a company producing x thousand units is given by P(x)=−2x^2+38x−120. Find the values of x for which the company makes a profit. [Hint: T

Algebra.Com
Question 1174921: The total profit function,​ P(x), for a company producing x thousand units is given by P(x)=−2x^2+38x−120. Find the values of x for which the company makes a profit. [Hint: The company makes a profit when P(x)>0.] Explain and justify your answer.
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
  P(x)=−2x^2+38x−120 = x^2 - 19x + 60 = (x - 4)(x-15)
 P(4) = 0  and P(15) = 0     4 ≤  x  ≤ 8 will either break even or show a profit
  P(10) shows the maximum profit.



Wish You the Best in your Studies.


Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

    P(x) = −2x^2 + 38x − 120 = -2*(x^2 - 19x + 60) = -2*(x - 4)(x-15)


    P(4) = 0  and P(15) = 0     4 ≤  x  ≤ 15   will either break even or show a profit

    
    P(9.5) shows the maximum profit.


Find several important differences from the post by @ewatrrr.



RELATED QUESTIONS

The total profit function P(x) for a company producing x thousand units is given by... (answered by stanbon)
The total profit P(x) for a company producing x thousand of pens is given by P(x)= -2x^2... (answered by Boreal)
Good Afternoon, Sam here. I am having a terrible time trying to solve this story or word... (answered by edjones)
The profit function for a computer company is given by P(x) = -x^2+20 x - 26 where x is... (answered by ikleyn)
The total profit function P(x) for a company producing x thousands of pens is given by... (answered by MathLover1,ikleyn)
the profit [in thousand dallors of a company is given by... (answered by josgarithmetic)
The profit function for a computer company is given by P(x) = -x^2+ 25x - 24 where x is... (answered by stanbon)
The profit function for a computer company is given by P(x)=−x^2+22x−18 where (answered by jim_thompson5910,josmiceli)
The total daily profit P, in dollars, from producing and selling x units is given by the... (answered by solver91311)