SOLUTION: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to the price P, in dollars, of an oven by the function R(P) = 85P �

Question 1058958: A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to the price P, in dollars, of an oven by the function R(P) = 85P � 0.25P^2. What price will give the maximum revenue?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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A manufacturer of microwave ovens believes that the revenue R, in dollars, that the company receives is related to
the price P, in dollars, of an oven by the function R(P) = 85P � 0.25P^2. What price will give the maximum revenue?
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They want you find the maximum of this quadratic function

R(P) = .

The general theory says that the quadratic function y(x) =  has the maximum/minimum at x = ,

which in your case is  =  = 170 dollars.

Answer.  170 dollars.

There is a bunch of lessons in this site on finding the maximum/minimum of quadratic functions
    - HOW TO complete the square to find the minimum/maximum of a quadratic function
    - Briefly on finding the minimum/maximum of a quadratic function
    - HOW TO complete the square to find the vertex of a parabola
    - Briefly on finding the vertex of a parabola

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