You do realize that it costs $40,000+ per year to incarcerate someone, right? So to meet your justification for imprisonment, this guy would have to be an excellent criminal. Why not just give him $40,000 per year and let him be free? He'd probably not need to burgle anymore.
As I understand it's substantially more than 40k GBP per year per prisoner. If the American system is costing less in the order of half what we're paying it must be absolutely horrendous.
Which is a side point to the absurdity of whole-life mandatory sentencing. It's incredibly expensive and pure vengeance; there's no way the cost to society in cash or emotional harm terms is minimised by spending MILLIONS of dollars depriving these people of their liberty for decades. So why does the Land Of The Free do it? Short, often community based sentences with strong rehabilitation would be orders of magnitude cheaper and have a very similar effect on the ultimate crime rate.
If we did this, I suspect we'd see a sharp rise in burglaries.
As to the figure itself, another commenter noted that the low end of prison costs seemed to be Lousisiana, in which operating a prison cost $13K / year. That would make the per-prisoner cost much, much lower than that.
Food for a year is barely even noticeable in $13K; if they cost $5 / day to feed that would come in under $2K / year. Where's all the money going?
Honestly, I didn't (and don't) expect that to be a controversial prediction.
So the more-generous question is, would being at least 5% better off financially reduce crime more than the 50%-shorter sentences for crime would increase it? I have no idea.