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Type I (Mountain View) Room Type II (Street View) Super Saver Deluxe Business $35 $30 $20 Deluxe 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 130 rentals in the Super Saver class, 60 in the Deluxe class, and 50 in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms an 120 Type II rooms. Business (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. If an amount is zero, enter "0". Rental Class with room type Super Saver rentals allocated to room type I Demand for Super Saver Super Saver rentals allocated to room type II $30 110 Deluxe rentals allocated to room type I Deluxe rentals allocated to room type II Business rentals allocated to room type II (b) For the solution in part (a), how many reservations can be accommodated in each rental class? No. of Reservations Rental Class Super Saver 60 50 $40 S No. of Reservations 100✔ 10 0 60 50 ✔ rental class was not satisfied.

Type I (Mountain View) Room Type II (Street View) Super Saver Deluxe Business $35 $30 $20 Deluxe 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 130 rentals in the Super Saver class, 60 in the Deluxe class, and 50 in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms an 120 Type II rooms. Business (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. If an amount is zero, enter "0". Rental Class with room type Super Saver rentals allocated to room type I Demand for Super Saver Super Saver rentals allocated to room type II $30 110 Deluxe rentals allocated to room type I Deluxe rentals allocated to room type II Business rentals allocated to room type II (b) For the solution in part (a), how many reservations can be accommodated in each rental class? No. of Reservations Rental Class Super Saver 60 50 $40 S No. of Reservations 100✔ 10 0 60 50 ✔ rental class was not satisfied.

Practical Management Science
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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I just need help with questin in part (c) that is marked wrong. Thank you!

Type I (Mountain View) Type II (Street View) determine how many 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 reservations to accept for each rental class. The demand forecast for a particular night is 130 rentals in the Super Saver class, 60 in the Deluxe class, and 50 in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms and 120 Type II rooms. Room Rental Class Super Saver Deluxe Business $35 $30 $30 Rental Class with room type Super Saver rentals allocated to room type I Super Saver rentals allocated to room type II Deluxe rentals allocated to room type I Deluxe rentals allocated to room type II Deluxe $20 (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. If an amount is zero, enter "0". Business rentals allocated to room type II Business Demand for Super Saver 110 60 - 50 $40 ✔ No. of Reservations 100 10 0 (b) For the solution in part (a), how many reservations can be accommodated in each rental class? No. of Reservations Rental Class Super Saver 60 50 S ✓ ✔ ✔ rental class was not satisfied.
Transcribed Image Text:Type I (Mountain View) Type II (Street View) determine how many 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 reservations to accept for each rental class. The demand forecast for a particular night is 130 rentals in the Super Saver class, 60 in the Deluxe class, and 50 in the Business class. Since these are the forecasted demands, Round Tree will take no more than these amounts of each reservation for each rental class. Round Tree has a limited number of each type of room. There are 100 Type I rooms and 120 Type II rooms. Room Rental Class Super Saver Deluxe Business $35 $30 $30 Rental Class with room type Super Saver rentals allocated to room type I Super Saver rentals allocated to room type II Deluxe rentals allocated to room type I Deluxe rentals allocated to room type II Deluxe $20 (a) Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. If an amount is zero, enter "0". Business rentals allocated to room type II Business Demand for Super Saver 110 60 - 50 $40 ✔ No. of Reservations 100 10 0 (b) For the solution in part (a), how many reservations can be accommodated in each rental class? No. of Reservations Rental Class Super Saver 60 50 S ✓ ✔ ✔ rental class was not satisfied.
(c) 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? Shadow Price $ Type I 30 S $ V Type II 20 Convert an unused office area to Type I Explain. Converting the unused office area to this type of room increases profit by $ room. 15 X (d) Could the linear programming model be modified to plan for the allocation of rental demand for the next night? Yes What information would be needed and how would the model change? Explain. (i) We would need to know how many rooms of Type I and Type II there will be on the next night to use as the right-hand sides of the last two constraints. (ii) We would need to know whether the profit per night of each type of room and rental class will change and use these as objective coefficients. (iii) We would need to know if Type 1 rooms can be used as Business class rooms the next night and add a variable to the objective function. (iv) We would need a forecast of demand for each rental class on the next night to use as the right-hand sides of the first three constraints Option (iv)
Transcribed Image Text:(c) 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? Shadow Price $ Type I 30 S $ V Type II 20 Convert an unused office area to Type I Explain. Converting the unused office area to this type of room increases profit by $ room. 15 X (d) Could the linear programming model be modified to plan for the allocation of rental demand for the next night? Yes What information would be needed and how would the model change? Explain. (i) We would need to know how many rooms of Type I and Type II there will be on the next night to use as the right-hand sides of the last two constraints. (ii) We would need to know whether the profit per night of each type of room and rental class will change and use these as objective coefficients. (iii) We would need to know if Type 1 rooms can be used as Business class rooms the next night and add a variable to the objective function. (iv) We would need a forecast of demand for each rental class on the next night to use as the right-hand sides of the first three constraints Option (iv)
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