SOLUTION: "A charter flight club charges its members $400 per year. But, for each new member in excess of 60, the charge for every member is reduced by $5. What number of members leads to a
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Question 518396: "A charter flight club charges its members $400 per year. But, for each new member in excess of 60, the charge for every member is reduced by $5. What number of members leads to a maximum revenue?" Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! "A charter flight club charges its members $400 per year.
But, for each new member in excess of 60, the charge for every member is reduced by $5.
What number of members leads to a maximum revenue?"
:
Let x = no. of $5 decrease for each member
and
Let x = increase in membership
:
f(x) = (400-5x)(60+x)
FOIL
f(x) = 24000 + 400x - 300x - 5x^2
A quadratic equation
f(x) = -5x^2 + 100x + 24000
Max revenue will occur at the axis to symmetry, x = -b/(2a)
a = -5, b = 100
x =
x = +10
A decrease of 5(10) = $50 giving us $350 per member
An increase of 10 people giving us 70 members for max revenue
