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

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
RELATED QUESTIONS
A charter flight charges its members $400 per year. But for evry new member in excessof... (answered by robertb)

Hi! I have a"Revenue Problem". A charter flight club charges its club members $400... (answered by Mathtut)

The members of the theatre club were assessed equally to raise $400 for the purchase of... (answered by macston)

there are currently 20 members in a school's ski club and the dues are $8 per member. to... (answered by scott8148)

6. A bus charter company offers a travel club the following ar- rangements: If no more... (answered by ankor@dixie-net.com)

Each year, every member of a club pays an equal amount to raise $63.00 for supplies.... (answered by ankor@dixie-net.com)

MAT 145: Topics In Contemporary Math Use GCF or LCM to find each of the following. (answered by Boreal)

a movie club charges a one-time membership fee of 25 dollar which allows members to... (answered by ewatrrr)

There are 6 males for every female member at a boxing club. If the club has 84 members in (answered by Fombitz)