I've got this problem where I need to select a carton of milk, 2 bottles of water and a juice box out of a list shown below. The idea is to select the 4 items that will allow me to end up with the largest possible total Litres. However the trick is that it must be done as if there were 3 other people trying to do the same thing and we each take it in turns. Eg. If I select the 2L of milk first, the other 3 people would then each select something else.
Milk: 2L, 1.5L, 1.25L, 1L
Water: 3L, 2.75L, 2.5L, 2.25L, 2L, 1.5L, 1L, 500mL
Juice Box: 700mL, 500mL, 400mL, 250mL
I thought about working out the average for each type and selecting the container with the largest different between what's available and the average but that's really just a guess.
Any help would be greatly appreciated!