Golden Martini has two production departments, Bottling and Packaging. Both departments are serviced by a single support department$$information technology $($IT$).$ Support department costs are allocated to production departments on the basis of support department hours. The IT department has fixed costs of $$450,000.$ In addition, the IT department incurs a rate of $$40$ per hour in variable costs. Budgeted and actual IT department hours in each production department are as follows:

Production Department Budgeted Hours Actual Hours

Bottling $1,5001,200$

Packaging $4,5005,000$

Total $6,0006,200$

if a single$-$rate cost allocation method is used, what amount of IT services costs will be budgeted for the bottling department?