Round Tree Manor is a hotel that provides two types of rooms with three rental classest Super Saver, Deluxe, and Blusiness. The proft per inght for each type of room and rentel class is as follows: 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 5 aver class, 50 rentais in the Deluxe class, and 40 rentais in the Business class. Round Tree has 110 Type 1 rooms and 120 Type If rooms. a. Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. Is the demand by any rental class not satitfled? Explain: The input in the box beiow will not be graded, but may be reviewed and considered by your instructor: b. How many reservations can be accommodated in each rental class? c. Mansgement 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 o little work, an unused office ares 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 greded, but may be reviewed and considered by your instructor. d. With a Iittle work, an unused office area could be converted to a rental room. If the conversion cost is the same for both types 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: Round Tree Manor is a hotel that provides two types of rooms with three rental classest Super Saver, Deluxe, and Blusiness. The proft per inght for each type of room and rentel class is as follows: 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 5 aver class, 50 rentais in the Deluxe class, and 40 rentais in the Business class. Round Tree has 110 Type 1 rooms and 120 Type If rooms. a. Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. Is the demand by any rental class not satitfled? Explain: The input in the box beiow will not be graded, but may be reviewed and considered by your instructor: b. How many reservations can be accommodated in each rental class? c. Mansgement 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 o little work, an unused office ares 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 greded, but may be reviewed and considered by your instructor. d. With a Iittle work, an unused office area could be converted to a rental room. If the conversion cost is the same for both types 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