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 max

Algebra ->  Finance -> 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 max      Log On


   



Question 1105573: 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?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
I do not know what "x is the peso increase over Php 4." Therefore, I will solve for x itself.
maximum revenue with a quadratic is at the vertex, which is -b/2a.
-100x^2+500x+3000
b=500
a=-100
-b/2a=-500/-200=5/2 or 2.5
R(2.5)=-625+1250+3000=3625 ANSWER.
graph%28300%2C300%2C-10%2C10%2C-1000%2C4000%2C-100x%5E2%2B500x%2B3000%29