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Timeline for Household groceries problem

Current License: CC BY-SA 4.0

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Aug 20 at 17:43 vote accept ramiro
Aug 20 at 15:35 answer added Nuclear Hoagie timeline score: 2
Aug 20 at 2:22 answer added Sutanu Majumdar timeline score: 0
Aug 19 at 20:23 comment added Nuclear Hoagie I'd think that method simplifies everything for everyone, though, and operates just fine with cash. Everyone owes $X/day, minus their share of the kitty and whatever they've already spent. There's actually less math to trust, as with the person-to-person payments, it may be impossible to know if you're making the payment correctly without knowing what every other person is also paying! In the original posted example, Ana can't know paying Bob is correct unless she knows that everyone else already paid Paula. If any of them paid Bob, Ana needs to pay Paula instead/as well.
Aug 19 at 20:07 comment added ramiro Hi @NuclearHoagie, thank you!! Yes, ideally yes, one would do a version of what you are suggesting. Unfortunately, an "unspoken" constraint here is that I am dealing with some housemates in their 70s and 80s that are not interested in absolutely minimum payments, optimal solutions, and barely trust anything but cash. Hence this particular problem, simple for them to state, harder for us!
Aug 19 at 18:52 comment added Nuclear Hoagie Having people pay other people directly adds some unnecessary complexity, as there's often no unique optimal solution, and some people may need to pay/receive money multiple times (e.g., Paula has to collect from 3 different people here). Instead, have everyone who owes money pay what they owe (minus their kitty share) into the central fund, and then have everyone who is owed money take what they are owed from the central fund (plus their kitty share). Everyone makes or receives the absolute minimum number of payments possible - one.
Aug 19 at 18:35 answer added prubin timeline score: 0
S Aug 19 at 14:47 review First questions
Aug 19 at 18:39
S Aug 19 at 14:47 history asked ramiro CC BY-SA 4.0