SOLUTION: The income for a company producing electronic components is given by y= -20x2-50x+200, where x is the price in dollars of each component. The cost for the production is given by

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: The income for a company producing electronic components is given by y= -20x2-50x+200, where x is the price in dollars of each component. The cost for the production is given by       Log On


   

Question 1156798: The income for a company producing electronic components is given by
y= -20x2-50x+200, where x is the price in dollars of each component. The cost for the production is given by y = 60x −10 . Determine the price that will allow the production to break even.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Set the two equal to one another.
-20x^2-50x+200=60x-10
-20x^2-110x+210=0
2x^2+11x-21=0
(2x-3)(x+7)=0
positive root is 3/2 of $1.50