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
![1660_rental class.jpg](https://secure.tutorsglobe.com/CMSImages/1660_rental%20class.jpg)
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
![820_rental class with room type.jpg](https://secure.tutorsglobe.com/CMSImages/820_rental%20class%20with%20room%20type.jpg)
(b) For the solution in part (a), how many reservations can be accommodated in each rental class.