As part of their application for a loan to Lakeside Farm, a property they hope to develop as a bed$-$and$-$breakfast operation, the prospective owners have projected:

Monthly Fixed cost $($loan payment, taxes, insurance, maintenance$)$ $$5000$

Variable cost per occupied room per night

$$30$

Revenue per occupied room per night

$$80$

Assume $30$ days per month

At an $80\%$ occupancy rate, what would the monthly profit be$?$

$16,000$

$13,000$

$12,000$

$11,500$