The manager of the 30-room (hard constraint) motel has decided to remodel two types of rooms – Standard and Luxury. Luxury rooms will net $75 of profit per night, while Standard rooms will net $50 per night. Consider these profits fixed.
The manager uses stuffed animals to display as decoration in the hotel rooms, and each Luxury room will get 2 stuffed animals and each Standard room will get 1 animal.
Each Luxury room will be equipped with 3 pairs of surround speakers. Each Standard room will have 1 pair of surround speakers.
Each Luxury room will require only 10 minutes to clean per day, while each Standard room will require 20 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 Luxury and Standard 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 speakers
2. Obtain $2200 of profit
3. Use no more than 40 animals
4. Make at least 5 rooms Luxury and 5 rooms Standard