Sterling Hotel uses activity$-$based costing to determine the cost of servicing customers. There are three activity pools: guest check$-$in$,$ room cleaning, and meal service. The activity rates associated with each activity pool are $$8\mathrm{.}20$ per guest check$-$in$,$ $$22\mathrm{.}00$ per room cleaning, and $$4\mathrm{.}00$ per served meal $($not including food$).$ Brian Lawson visited the hotel for a $6-$night stay. Brian had $8$ meals in the hotel during the visit.

Determine the total activity$-$based cost for Lawson's visit during the month. Round your answer to the nearest cent. $