Foster City has an ambulance service that is used by the two public hospitals in the city. Variable ambulance costs are budgeted at $$4\mathrm{.}20$ per mile. Fixed ambulance costs are budgeted at $$120,000$ per year. Mercy Hospital requires $45\%$ of the ambulance service peak$-$period capacity, planned to use $15,000$ miles, and actually used $16,000$ miles. How much ambulance service cost will be allocated to Mercy Hospital at the end of the year?