How much change is in a vending machine?
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If you've ever seen the guys refilling the machine, you know it's got a slot for every drink button. There are about eight buttons on the average machine, and I'm guessing that each row holds about a case of soda -- 24 units (cans or bottles).
So, that's 192 refreshing beverages per machine.
Now, they don't just wait until everything is empty to refill, and not every customer is going to pay with two $1 bills. So, let's make a couple of assumptions:
1. They refill the machine when it's about half-empty, so you only need change for about half of what the machine holds.
2. If you put in $2, you get back $0.75 in change (if the soda is $1.25), but we don't need to do that every time.
3. Given the usage patterns that I've observed, I'm figuring that we only need to provide change for about every third bottle, so we need about a quarter for every drink unit that we sell.
Put those together, and you get $24 in change.
I did a similar calculation making reasonable assumptions (most people buy two tickets at a time, most people pay with a $20 bill, etc.). It was fun and worked out quite accurately.
Best part was taking the actual funds collected and reevaluating to minimize the amount of cash needed.
I can say he reached a similar result.
Some vending machines have small lcd's that say no change when out, most don't. And a can that should have cost Euro0.80 has now cost Euro1 or if your unlucky then Euro2(if you used the two Euro coin).
There was an infamous knot called the Gordian Knot. It was an actual knot, very difficult to untie. There was some prophecy or other that the person who was able to solve the Gordian Knot (by presenting the two separated ends of the knot) would rule all of Asia or something. Anyway, Alexander the Great faced the knot, carefully considered the problem for a minute or two, drew his sword, and cut it in half.
So a Gordian Knot is something that seems to be a complex intellectual puzzle you can spend a lot of time and effort meticulously working at, or you can just "cheat" and get the same result out of it, and it doesn't really matter in the end. There's a similar joke about a mathematician, a physicist, and an engineer finding the height of a building--the mathematician measures the building's shadow and the angle of the sun and derives the answer with trigonometry, the physicist drops a stopwatch off the roof and derives the height from the time on the stopwatch when it hits the ground and breaks, and the engineer steps inside and asks the superintendent how tall the building is.
Your introduction warmed my heart. An air-conditioning plant fails in Florida and the art of storytelling from memory is rekindled.