- #1
courtrigrad
- 1,236
- 2
Hello all
I am not sure whether I understood this problem:
If 40 passengers hire a special car on a train, they will be charged $8.00 each. For each passenger over the 40 this fare is cut by $0.10 apiece for all passengers. (eg 50 passengers would pay $7.00 each). How many passengers will produce the greatest income for the railroad?
My solution
(18 + 0.1n)*n = I(x)
I ' (x) = 18 - 0.1n - 0.1n
= -0.2n + 18
-0.2n = -18
n = 90
Is this correct?
Thanks a lot!
I am not sure whether I understood this problem:
If 40 passengers hire a special car on a train, they will be charged $8.00 each. For each passenger over the 40 this fare is cut by $0.10 apiece for all passengers. (eg 50 passengers would pay $7.00 each). How many passengers will produce the greatest income for the railroad?
My solution
(18 + 0.1n)*n = I(x)
I ' (x) = 18 - 0.1n - 0.1n
= -0.2n + 18
-0.2n = -18
n = 90
Is this correct?
Thanks a lot!