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: \table[[,Rental Class,],[,,Super Saver,Deluxe,Business],[Room,Type I (Mountain View),

$30

,

$35

,-],[

$15

,

$25

,

$35

,]] 90 Type I rooms and 110 Type II rooms. (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 ". \table[[Rental Class with room type,No. of Reservations],[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,],[Business rentals allocated to room type II,]] (b) For the solution in part (a), how many reservations can be accommodated in each rental class? \table[[Rental Class,No. of Reservations],[Super Saver,],[Deluxe,],[Business,]] Demand for -Select your answer -

V

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? \table[[,Type I,Type II],[Shadow Price

s

,,]] Convert an unused office area to - Select your answer -

room. Explain.

Converting the unused office area to this type of room increases profit by

s

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: \table[[,Rental Class,],[,,Super Saver,Deluxe,Business],[Room,Type I (Mountain View),

$30

,

$35

,-],[

$15

,

$25

,

$35

,]] 90 Type I rooms and 110 Type II rooms. (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 ". \table[[Rental Class with room type,No. of Reservations],[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,],[Business rentals allocated to room type II,]] (b) For the solution in part (a), how many reservations can be accommodated in each rental class? \table[[Rental Class,No. of Reservations],[Super Saver,],[Deluxe,],[Business,]] Demand for -Select your answer -

V

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? \table[[,Type I,Type II],[Shadow Price

s

,,]] Convert an unused office area to - Select your answer -

room. Explain.

Converting the unused office area to this type of room increases profit by

s