A $90-$room motel has an average room rate of $$63$ and average occupancy of $79\%.$ Its fixed costs are $$800,000$ a year, and its variable costs total $$500,000.$

The owner wants to increase operating income from current level to $$250,000.$ She decides to do the following adjustments:

increase price by $$9$

spend $$30,000$ more per year on marketing to compensate for the higher room rate

To motivate the staff, the owner also set a $$2,000$ reward to the best employee

Send guest fruits to each room, which costs $$5$ per room

How many rooms does she need to sell per night?