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According to (https://www.marketplace.org/2017/05/19/how-much-does-it-cost...), it's above $31,000 per inmate per year (up to $60,000/year). That's $0.000095 per person per inmate per year. Assuming an average of 33 not-executed-but-would-have-been inmates per year, and that they actually live 45 years in jail (because they're not all going to live 90 years there), that's 1,485 inmates at any one time (my math may be wrong).

That works out to about $0.14 per year per citizen, or $0.37 per household (assuming all my math is more or less correct)

I agree with your analysis that it's not a lot of money. I will ponder this.

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