SOLUTION: Luke Manufacturing estimates that its profit P(in hundreds of dollars) after producing x thousand units can be expressed as p(x)=-5x^2+50x+3. How many units must be produced t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Luke Manufacturing estimates that its profit P(in hundreds of dollars) after producing x thousand units can be expressed as p(x)=-5x^2+50x+3. How many units must be produced t      Log On


   



Question 1053392:
Luke Manufacturing estimates that its profit P(in hundreds of dollars) after producing x thousand units can be expressed as p(x)=-5x^2+50x+3. How many units must be produced to obtain a profit of $12,800?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(x)=-5x^2+50x+3.
128 = -5x^2+50x+3
5x^2 - 50x + 125 = 0
x^2 - 10x + 25 = 0
(x-5)(x-5) = 0
x = 5
5000 units must be produced to obtain a profit of $12,800