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Math Q' help

A bus will send a bus with a capacity of 50 to groups of 35 or more.
If the group is exactly 35, then the each person will pay 60 pounds.
But in large groups, everyones tickets is reduced by £1 for each person in excess of 35
Calculate the size of the group for which the revenue of the bus will be greatest.

No idea where to start this off. Obviously i could just do the long manual method, but since this question is worth 8 marks, i doubt this is the suitable approach. I'm thinking of trying to make the scenario a function of somesort and use derivatives but no idea what it could be?

Cheers :smile:

Reply 1

ArcticSlayer

That first sentence sounds odd.

Reply 2

TenOfThem

Original post by Jkizer

A bus will send a bus with a capacity of 50 to groups of 35 or more.
If the group is exactly 35, then the each person will pay 60 pounds.
But in large groups, everyones tickets is reduced by £1 for each person in excess of 35
Calculate the size of the group for which the revenue of the bus will be greatest.

No idea where to start this off. Obviously i could just do the long manual method, but since this question is worth 8 marks, i doubt this is the suitable approach. I'm thinking of trying to make the scenario a function of some sort and use derivatives but no idea what it could be?

Cheers :smile: