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Linear Programming, D1 watch

1. Got stuck on Q4. Any ideas how i could do it?

A spotrs club wishes to hire a minibus for a trip. Children under 16 can travel for 5 pound and adults for 10 pound. The minibus company have the following conditions:
-The total number of passangers must not exceed 14.
-There must be no less than 10 passangers on each trip.
-There must be at least as many half-fare passangers as full-fare passangers.
Determine the maximum amount the minibus company can receive for the hire. Formulate this as a linear programming problem.

Many thanks!
2. How have you begun
3. didn't even begin, don't even know how to do the constrains
4. If a minibus has x children and y adults what would the cost be?

Can you write an equation that uses the fact that there must be at least as many children as adults

What would be the total number of people on the train using x and y
5. Let c = number of children and a = number of adults and start rewriting the constraints in terms of the a and c variables.

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Updated: September 28, 2011
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