The director of a Bed and Breakfast is remodeling the rooms of the 30-room building. There are two types of rooms - Regular and Sizeable. Per night, the rooms will net a fixed profit of $50 per Regular room and $75 per Sizeable room.
Each Regular room will require 20 minutes to clean per day, while each Sizeable room will require 10 minutes. The manager wishes to allocate no more than 9 hours each day in cleaning the rooms as a hard constraint.
Each Regular room will have 1 chair and each Sizeable room will have 3 chairs.
Each Regular room will get 1 complematry snack and each Sizeable room will get 2 complementary snacks.
Each Regular room will require 20 minutes to clean per day, while each Sizeable room will require 10 minutes. The manager wishes to allocate no more than 9 hours each day in cleaning the rooms as a hard constraint.
Find the optimal number of Regular and Sizeable rooms that addressed the following goals stated in order of importance in a Linear GOAL Programming Model (some goals may not be able to be met).
1. Use at least 50 chairs
2. Obtain $2200 of profit
3. Use no more than 40 complementary snacks
4. Make at least 5 rooms Regular and 5 rooms Sizeable