Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The prot per night for each type of room and rental class is as follows: Rental Class Super Saver Deluxe Business Type 1 $35 $40 Rm Type 11 $25 $35 $45 Type I rooms do not have high-speed 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 120 rentals in the Super Saver class, 65 in the Deluxe class, and 50 in the Business class. Round Tree has 100 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. Rental Class with room type No of Reservations Super Saver rentals allocated to room type I 100 Super Saver rentals allocated to room type II 15 Deluxe rentals allocated to room type I 0 Deluxe rentals allocated to room type II 65 00000 Business rentals allocated to room type II 40