In: Math
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 |
||||
|
Super Saver |
Deluxe |
Business |
|
Type I |
$38 |
$43 |
— |
|
Type II |
$16 |
$28 |
$45 |
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, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 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 |
Variable |
# of reservations |
SuperSaver rentals allocated to room type I |
110 |
SuperSaver rentals allocated to room type II |
20 |
Deluxe rentals allocated to room type I |
0 |
Deluxe rentals allocated to room type II |
50 |
Business rentals allocated to room type II 40
Rental Class |
# of reservations |
SuperSaver |
130 |
Deluxe |
50 |
Business 40