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) = 100P

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> 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) = 100P       Log On


   



Question 1173498: 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) = 100P - 0.25P2. What price will give the maximum revenue?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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The quadratic function  R(p) = 100p - 0.25p^2 has the zeroes at


    100p - 0.25p^2 = 0,  i.e.  p = 0  and  p = 1000%2F0.25 = 400.


It has the maximum exactly half way between the roots, i.e. at p = 200  dollars.      ANSWER