Monthly Archives: September 2020

Donut Math

I’m definitely playing too much of The Simpsons: Tapped Out these days. Eventually I’ll move onto other obsessions, but since I did some interesting math (and I hate throwing anything away that can be preserved digitally), I thought I’d share the results of a mathematical solution I came up with.

Donuts are the “premium” currency in the game – i.e. they’re what you can spend real money on, and they enable you to progress through quests and tasks more quickly as well as let you buy premium items, characters, and decorations. As you progress through levels, you earn bonus donuts until you reach level 939. After that, each “level up” gives you a choose-a-door option where you can win 1, 2, or 3 donuts. You can always spend $50k (in-game currency) to open up another package if you don’t like your first option, and there have been several lines of thought as to what the best strategy is to go for here. I went for a different tack – I already had more in-game dollars than I could ever spend, and placing a few bloodmobiles (the free-donut engine of choice among high-level TSTO-ers) would bring up several of these level-up bonuses in a row. Because I know time is my most precious commodity, I set out to figure what was the fastest method of getting donuts, regardless of the price in dollars.

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