Problem $85$ The Mayer Hotel is trying to determine its break$-$even point during its off $-$peak season.The inn has $75$ rooms that it rents at $$80$ a night.Operating costs are as follows: Salaries $$4,200$ per month, Utilities $$1,800$ per month $+$ $$1\mathrm{.}00$ per room, Depreciation $$765$ per month, Maintenance $$60$ per month,Maid service $$14$ per room, Other costs $$26$ per room$100$ Determine the hotel's break$-$even point in $($a$)$ number of rented rooms per month and $($b$)$ dollars.