If a group of friends decide that they want to drink a total of \(25\) liters, how much would it cost them(minimum)?
Details and assumptions:
1) \($2\) extra for each \(\dfrac 12\)L drink you buy,
2) \($4\) extra for each \(1\)L drink you buy and,
3) \($11\) extra for each \(2\)L drink that you buy
For example, if you buy a \(1\)L drink and pay him \($50\), he will give you \($44\) instead of \($40\).
You can buy at most ten \(\dfrac 12\)L drink.
You can buy drinks in natural numbers, i.e. you can't buy \(12.5\) glasses of \(2\)L drink.
You have just got \($50\) bills with you.