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:
Rental Class
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 140 rentals in the Super Saver class, 65 in the Deluxe class, and 40 in the Business class. Round Tree has 100 Type I rooms and 120 Type II rooms.
a. Formulate and solve a linear program to determine how many reservations to accept in each rental class and how
(b) For the solution in part (a), how many reservations can be accommodated in each rental class.