SOLUTION: A store sells lecture notes, and the monthly revenue R of this store can be modelled by the function R(x) = 3000 +500x -100x2, where x is the peso increase over Php 4. What is the

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Question 926462: A store sells lecture notes, and the monthly revenue R of this store can be modelled by the function R(x) = 3000 +500x -100x2, where x is the peso increase over Php 4. What is the maximum revenue?
I could solve this (I think) but I really don't understand the question...

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
The equation R(x) = 3000 +500x -100x2 is a parabola that opens downward, we need to solve for the vertex,
the x coordinate for the vertex is x = -b/2a = -500/-200 = 2.5
substitute for x in our equation
R(x) = 3000 +(500*2.5) -100*(2.5)^2 = 3625 peso's (max revenue)
note that x is peso increase over the Philippine Peso (Php) 4

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