How are the vaults in Fallout games meant to be self-sufficient?


I read on Wikipedia that the vaults in the Fallout series are made to sustain up to a thousand people for an indefinate amount of time, meaning that a population of humans could live in one of them for many thousands of years.

Well, I haven’e got any Fallout games so how exactly is the self-sufficient thing figured out? How can a vault generate its own food?

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