SOLUTION: A student club changes annual membership dues of P800.00, less P5.00 for each member over 50. How many members would give the most revenue for annual dues?

Question 1096360: A student club changes annual membership dues of P800.00, less P5.00 for each member over 50. How many members would give the most revenue for annual dues?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A student club changes annual membership dues of P800.00, less P5.00 for each member over 50.
How many members would give the most revenue for annual dues?
:
let x = no. of members over 50 that give max revenue
:
R(x) = (800 - 5x)(50 + x)
FOIL
R(x) = 40000 + 800x - 250x - 5x^2
A quadratic equation
y = -5x^2 + 550x + 40000
Max revenue occurs on the axis of symmetry; x = -b/(2a)
x =
x = 55 above 50 or 105 members give max revenue
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