Round Tree Manor is a hotel that provides two types of rooms with three rental dasses Super Saver, Deuse, and business. The proper night for each type of room and rental class is as follows $40 Rental Class Super Saver Deluxe Business Type 1 (Mountain View) $30 $35 Room Type 11 (Street View) 520 530 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 reservation to accept for each rental cats. The demand forecast for a particular night is 130 rent in the Super Saver claw, in the Dunes, and so in the Business case. Since these are the forecasted demands, Hound 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 roata and 120 Type room. (a) Formulate and solve a linear program to determine how many reservations to accept in each rental dess and how the reservations should be located to room types. In amount is zero, antero Rental Class with room type No. of Reservations Super Saver rentals alocated to room type Super Saver rental blocated to room type 11 Deluxe rentals allocated to room type Deluxe rentals allocated to room type it Business rentale allocated to room type II (b) for the solution in part (a), how many reservations can be accommodated in each rental cass? Rental Class No. of Reservations Super Saver Deluxe Business (b) For the solution in part(o), how many reservations can be accommodated in each rental class? Rental Class No. of Reservations Super Saver Deluxe Business Demand for - Select your answer-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 sale for both types of rooms, would you recommend converting the office to Type 1 ora Type 1 room? Type 1 Type I Shadow Prices Convert an unused office area to Select your answer room Explain Converting the used office area to this type of room increases profit by (d) Could the linear programming model be mooded to plan for the allocation of rental demand for the next night Select your answer - What information would be needed and how would the model change Explain (1) We would need to know how many rooms of Type I and Type 11 there will be on the next night to use as the right hand sides of the last two contrat c) We would need to know whether the profit per night of each type of room and rental dass will change and use these objective coeficients. (H) We would need to know if Type 1 rooms can be used as Business cassrooms there and add valable to the objective function (iv) We would need a forecast of demand for tach rental class on the next night to use as the right hand sides of the first three constraints - Select your answer Round Tree Manor is a hotel that provides two types of rooms with three rental dasses Super Saver, Deuse, and business. The proper night for each type of room and rental class is as follows $40 Rental Class Super Saver Deluxe Business Type 1 (Mountain View) $30 $35 Room Type 11 (Street View) 520 530 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 reservation to accept for each rental cats. The demand forecast for a particular night is 130 rent in the Super Saver claw, in the Dunes, and so in the Business case. Since these are the forecasted demands, Hound 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 roata and 120 Type room. (a) Formulate and solve a linear program to determine how many reservations to accept in each rental dess and how the reservations should be located to room types. In amount is zero, antero Rental Class with room type No. of Reservations Super Saver rentals alocated to room type Super Saver rental blocated to room type 11 Deluxe rentals allocated to room type Deluxe rentals allocated to room type it Business rentale allocated to room type II (b) for the solution in part (a), how many reservations can be accommodated in each rental cass? Rental Class No. of Reservations Super Saver Deluxe Business (b) For the solution in part(o), how many reservations can be accommodated in each rental class? Rental Class No. of Reservations Super Saver Deluxe Business Demand for - Select your answer-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 sale for both types of rooms, would you recommend converting the office to Type 1 ora Type 1 room? Type 1 Type I Shadow Prices Convert an unused office area to Select your answer room Explain Converting the used office area to this type of room increases profit by (d) Could the linear programming model be mooded to plan for the allocation of rental demand for the next night Select your answer - What information would be needed and how would the model change Explain (1) We would need to know how many rooms of Type I and Type 11 there will be on the next night to use as the right hand sides of the last two contrat c) We would need to know whether the profit per night of each type of room and rental dass will change and use these objective coeficients. (H) We would need to know if Type 1 rooms can be used as Business cassrooms there and add valable to the objective function (iv) We would need a forecast of demand for tach rental class on the next night to use as the right hand sides of the first three constraints - Select your