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
Room		Super Saver	Deluxe	Business
	Type I	$38	$43
	Type II	$16	$28	$45

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 140 rentals in the Super Saver class, 50 rentals in the Deluxe class, and 40 rentals in the Business class. Round Tree has 110 Type I rooms and 110 Type II rooms.

1. Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.

   Variable	# of reservations
   SuperSaver rentals allocated to room type I	_______
   SuperSaver rentals allocated to room type II	_______
   Deluxe rentals allocated to room type I	_______
   Deluxe rentals allocated to room type II	_______
   Business rentals allocated to room type II	_______

   Is the demand by any rental class not satisfied? YES OR NO Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. ________________________
2. How many reservations can be accommodated in each rental class?

   Rental Class	# of reservations
   SuperSaver	________
   Deluxe	________
   Business	________

3. Management 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? YES OR NO
4. With a little work, an unused office area 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? TYPE I OR TYPE II Why? The input in the box below will not be graded, but may be reviewed and considered by your instructor. _________________________
5. Could the linear programming model be modified to plan for the allocation of rental demand for the next night? YES OR NO What information would be needed and how would the model change? The input in the box below will not be graded, but may be reviewed and considered by your instructor. __________________________