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 super saver deluxe business room type i $30 $35 — type ii $20 $30 $40 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. the demand forecast for a particular night is 130 rentals in the super saver class, 60 rentals in the deluxe class, and 50 rentals in the business class. round tree has 100 type i rooms and 120 type ii rooms. develop a linear programming model to maximize profit by determining how many reservations to accept for each rental class.