The monthly fixed costs of operating a 20 room motel are $28,750. The price per room per night ( or per unit) is set at $105. The variable cost per day, per room ( or per unit) is $13 for maid service, $6 for toiletry supplies and laundry, and $5 for heat and utilities.

The owner is planning to reduce his price to $ 100 per room per night; what is his profit for the month assuming all rooms are occupied? ( Hint: One month has 30 days; use this to find Q and CPT PFT)