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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!

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# Homework Help: Misunderstanding of Problem

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