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Problem $8-21($Algorithmic$)$

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:

Type I rooms do not have wireless Internet access and are not available for the Business rental class.

particular night is $120$ rentals in the Super Saver class, $70$ rentals in the Deluxe class, and $55$ rentals in the Business class. Round Tree has $105$ Type I rooms and $120$ 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.

Is the demand by any rental class not satisfied?

Explain.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

b$.$ How many reservations can be accommodated in each rental class? Explain.

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

b$.$ How many reservations can be accommodated in each rental class?

Why?

The input in the box below will not be graded, but may be reviewed and considered by your instructor.

e$.$ Could the linear programming model be modified to plan for the allocation of rental demand for the next night?

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.