In: Operations Management
Problem 8-21 (Algorithmic)
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:
Rental Class | ||||
Room |
Super Saver | Deluxe | Business | |
Type I | $36 | $38 | — | |
Type II | $15 | $26 | $38 |
Type I rooms do not have wireless Internet access and are not available for the Business rental class.
Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 140 rentals in the Super Saver class, 60 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 125 Type I rooms and 135 Type II rooms.
Variable | # of reservations |
---|---|
SuperSaver rentals allocated to room type I | |
SuperSaver rentals allocated to room type II | |
Deluxe rentals allocated to room type I | |
Deluxe rentals allocated to room type II | |
Business rentals allocated to room type II |
Rental Class | # of reservations |
---|---|
SuperSaver | |
Deluxe | |
Business |