I think you can reconcile the game amounts with reality by assuming the post nuke "grain" isn't as high a quality was pre nuke. Contains a lot more chaff than actual grain, the crops themselves are effected by radiation, limited rainfall and sunshine, etc.
Yes, it's a bit of a generalised handwaving, but...
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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