SOLUTION: Suppose that the manufacturer of a DVD player has found​ that, when the unit price is p​ dollars, the revenue R​ (in dollars) as a function of the price p is R(

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that the manufacturer of a DVD player has found​ that, when the unit price is p​ dollars, the revenue R​ (in dollars) as a function of the price p is R(      Log On


   



Question 1109607: Suppose that the manufacturer of a DVD player has found​ that, when the unit price is p​ dollars, the revenue R​ (in dollars) as a function of the price p is
R(p)=-2.5p^2+850p
​(a) For what price will the revenue be​ maximized?
​(b) What is the maximum​ revenue?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
R=-2.5p^2+850 p
This is a quadratic where the vertex is the maximum value.
vertex p value is -b/2a=-850/-2.5*2=+170 so $170 is price at maximum revenue
R=-2.5*170^2+850*170
=-72250+144500
=$72,250
graph%28300%2C300%2C-60%2C200%2C-100000%2C100000%2C-2.5x%5E2%2B850x%29