The ending is a little hard to believe.
My sister has a job somewhat like this for a school system. Multiply the number of working hours by the number of workers, divide by the number of active cases and the number of hours each case takes to resolve. The answer is that a large number of cases will not be done by their deadlines.
If someone wanted to send her a 500 page fax, she’s just going to shrug and work on something else. If she gives it even a passing thought, it would be “this ass better hope his fax finishes printing before the deadline for benefit cutoff”