Bates Motel Redesign Problem Optimization Linear GOAL Programming Norman Bates is the General Manager of the 30-room Bates Motel. He has decided, based upon the urging of his mother, who owns the Bates Motel, to fix up the motel and create two kinds of rooms Standard and Luxury.

Luxury rooms will net $75 of profit per night, while Standard rooms will net $50 per night. Consider these fixed, as these figures have been set by Mrs. Bates with strict restrictions on modifications.

Norman, a taxidermist in his spare time, uses stuffed animals to display as decoration in the hotel rooms (people come from miles around to stay in the hotel due to the uniqueness of his taxidermy work thus, it is also safe to assume away any room demand issues). He has decided that each luxury room will get 2 such works of art, and each standard room a single animal. The luxury rooms will also have special amenities in the shower area. Among many other items, the shower and bathroom area will be equipped with 3 pairs of Dolby speakers (linked to the in-room stereo system). Each regular room will have a single pair of speakers.

Surprisingly, based upon Normans expertise, each luxury room will require only 10 minutes to clean each day, while each regular room will require 20 minutes. Norman wishes to allocate no more than 9 hours each day in cleaning the rooms AS A HARD CONSTRAINT. ADDITIONALLY, TREAT THE NUMBER OF ROOMS AS A HARD CONSTRAINT (NO MORE THAN 30).

Find the optimal number of Luxury and Standard rooms that addressed the following goals stated in order of importance. 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