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:
Room
Type I
Type II
No
Super Saver
$37
Rental Class
$18
Explain.
Deluxe
$40
$33
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 125 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 120 Type II rooms.
a. Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.
Variable
SuperSaver rentals allocated to room type I
SuperSaver rentals allocated to room type II
Deluxe rentals allocated to room type 1
Deluxe rentals allocated to room type II
Business rentals allocated to room type II
Is the demand by any rental class not satisfied?
Business
$35
# of reservations
The innut in the hox below will not he graded but may he reviewed and considered hv your instructor