University Printers has two service departments $($Maintenance and Personnel$)$ and two operating departments $($Printing and Developing$).$ Management has decided to allocate maintenance costs on the basis of machine$-$hours in each department and personnel costs on the basis of labor$-$hours worked by the employees in each.

The following data appear in the company records for the current period:

Maintenance Personnel Printing Developing

Machine$-$hours $1,0001,0003,000$

Labor$-$hours $5005002,000$

Department direct costs $ $16,500$ $ $35,250$ $ $44,200$ $ $29,500$

University Printers estimates that the variable costs in the Personnel Department total $$19,750$ and in the Maintenance Department variable costs total $$8,400.$ Avoidable fixed costs in the Personnel Department are $$5,600.$

Required:

If University Printers outsources the Personnel Department functions, what is the maximum it can pay an outside vendor without increasing total costs? $($Do not round intermediate calculations.$)$