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.

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