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 $36 $38 — type ii $15 $26 $38 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, 60 rentals in the deluxe class, and 40 rentals in the business class. round tree has 125 type i rooms and 135 type ii rooms. use linear programming to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types.