I doubt such numbers refer specifically to the cost of printing and mailing a single check. I'm going to guess that my employer, for example, cuts maybe 100 checks a week--that's accounts payable; payroll is handled outside. And the printing and mailing process takes a person maybe 2 hours. (I'm guesstimating here based on what I've seen & questions I've gotten.) I doubt bigger places spend proportionally more time or effort.
I expect the figure was arrived at by calculating time spent by various people to follow whatever procedures are in place to approve the payment in the first place. (I could be wrong, of course.)
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