Find the optimal number of regular and sizeable rooms that


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

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