[solved]-Linear Programming Round Tree Manor Hotel Provides Two Types Rooms Three Rental Classes Su Q39638612

LINEAR PROGRAMMING

Round Tree Manor is a hotel that provides two types of roomswith three rental classes: Super Saver, Deluxe, and Business. Theprofit per night for each type of room (Type 1, Type 2) and rentalclass (Super Saver, Deluxe, Business) is as follows:

Super SaverDeluxeBusinessType 1$36$38—Type 2$15$26$38

Type I rooms do not have wireless Internet access and are notavailable for the Business rental class.

Round Tree’s management makes a forecast of the demand by rentalclass for each night in the future. A linear programming modeldeveloped to maximize profit is used to determine how manyreservations to accept for each rental class. The demand forecastfor a particular night is 140 rentals in the Super Saver class, 60rentals in the Deluxe class, and 40 rentals in the Business class.Round Tree has 125 Type I rooms and 135 Type II rooms.

a. Use linear programming to determine how many reservations toaccept in each rental class and how the reservations should beallocated to room types.

Variable# of ReservationsSuperSaver 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____________

Is the demand by any rental class not satisfied? YES ORNO
Explain.

b. How many reservations can be accommodated in eachrental class?

Rental Class# of reservationsSuperSaver___________Deluxe___________Business___________

c. Management is considering offering a free breakfastto anyone upgrading from a Super Saver reservation to Deluxe class.If the cost of the breakfast to Round Tree is $5, should thisincentive be offered? YES OR NO

d. With a little work, an unused office area could beconverted to a rental room. If the conversion cost is the same forboth types of rooms, would you recommend converting the office to aType I or a Type II room? Why?

e. Could the linear programming model be modified toplan for the allocation of rental demand for the next night? YES ORNO

What information would be needed and how would the modelchange?

Expert Answer

---

Answer to LINEAR PROGRAMMING Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, … . . .