Handy Inc. has a maintenance department that serves two operating departments, Cutting and Assembly. The maintenance department incurred $$154,000$ this year of which $30\%$ was variable costs and the rest was fixed. Variable costs are allocated based on $$1\mathrm{.}25$ per machine hour. Fixed costs are spread based on peak$-$period capacity of $100,000$ machine in Cutting and $80,000$ machine hours in Assembly. How much of the maintenance department will be charged to Assembly if they used $84,000$ machine hours during the year $($rounded to whole number$)?$