Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. Room Type 1 Type II Rental Class Super Saver $37 $18 Deluxe $40 $33 Business $35 he profit per night 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, and0 rentals in the Business class. Round Tree has 110 Type 1 rooms and 120 Type II rooms.
Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. Room Type 1 Type II Rental Class Super Saver $37 $18 Deluxe $40 $33 Business $35 he profit per night 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, and0 rentals in the Business class. Round Tree has 110 Type 1 rooms and 120 Type II rooms.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Transcribed Image Text:eBook
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 dass is as follows:
Room
Type 1
Type II
Rental Class
Super Saver
$37
$18.
Deluxe
$40
$33
Business
$35
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 10 rentals in the Business class. Round Tree has 110 Type 1 rooms and 120 Type II rooms.

Transcribed Image Text:b. How many reservations can be accommodated in each rental class?
Rental Class
SuperSaver
Deluxe
Business
# of
reservations
CAMER
c. Management is considering offering a free breakfast to anyone upgrading from a Super Saver reservation to Deluxe class. If the cost of the breakfast to Round Tree is $5, should this incentive be offered?
d. With a little work, an unused office area could be converted to a rental room. If the conversion cost is the same for both types of rooms, would you recommend converting the office to a Type I or a Type II room?
Why?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
e. Could the linear programming model be modified to plan for the allocation of rental demand for the next night?
What information would be needed and how would the model change?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
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Step 1: We find constraints as per the given question.
VIEWStep 2: We can find reservation for each rental class.
VIEWStep 3: We need to calculate the additional revenue.
VIEWStep 4: We need to calculate the profit generated by each room type.
VIEWStep 5: We would need to update the availabity of each rooms in each type based for the current night
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