The Cullumber Acres Inn is trying to determine its break$-$even point during its off$-$peak season. The inn has $50$ rooms that it rents at $$100$ a night. Operating costs are as follows:

Salaries

Property tax

Depreciation $($straight$-$line$)$

Maintenance

Maid service

Other costs

$$7,500$

per month

$$1,000$ per month

$$1,100$

per month

$$300$

per month

$$24$

per room

$$46$ per room

$($a$)$

Determine the inn's break$-$even point in number of rented rooms per month.

Break$-$even point

rooms