Formulate and solve a linear program to determine how many reservations to accept in each rental class and how the reservations should be allocated to room types. $($Assume S$1$ is the number of Super Saver rentals allocated to room type I, S$2$ is the number of Super Saver rentals allocated to room type II$,$ D$1$ is the number of Deluxe rentals allocated to room type I, D$2$ is the number of Deluxe rentals allocated to room type II$,$ B$2$ is the number of Business rentals allocated to room type II$.$ Write your answers expressing the amount allocated in dollars.$)$

Max

Correct: Your answer is correct.

s$.$t$.$

Demand for Super Saver

Correct: Your answer is correct.

Demand for Deluxe

Correct: Your answer is correct.

Demand for Business

Correct: Your answer is correct.

Type I Rooms

Correct: Your answer is correct.

Type II Rooms

Correct: Your answer is correct.

S$1,$ S$2,$ D$1,$ D$2,$ B$2>=0$

Report the number of reservations of each type management should accept for each rental class room type combination to maximize profit.

Rental Class

Super Saver Deluxe Business

Room Type I

Incorrect: Your answer is incorrect.

Incorrect: Your answer is incorrect.

$$

Type II

Incorrect: Your answer is incorrect.

Incorrect: Your answer is incorrect.

Incorrect: Your answer is incorrect.

What is the profit $($in dollars$)$ obtained through this allocation of room reservations.

$

Incorrect: Your answer is incorrect.

$($b$)$

For the solution in part $($a$),$ how many reservations can be accommodated in each rental class?

Super Saver

$100$

Incorrect: Your answer is incorrect.

Deluxe

Incorrect: Your answer is incorrect.

Business

Incorrect: Your answer is incorrect.

Is the demand for any rental class not satisfied?

If demand materializes as forecast, there will be

Incorrect: Your answer is incorrect.

rooms not reserved in the

$---$Select$---$

Incorrect: Your answer is incorrect.

class.

$($c$)$

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? Why?

$---$Select$---$

Incorrect: Your answer is incorrect.

$,$ because this will increase profit by $

Incorrect: Your answer is incorrect.

$.$

$($d$)$

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?

We would need to know how many rooms of Type I and Type II there will be on the next night to use as the right$-$hand sides of the last two constraints.

We would need to know whether the profit per night of each type of room and rental class will change and modify all the constraints appropriately.

We would need to know if Type $1$ rooms can be used as Business class rooms the next night and add a variable to the objective function.

We would need a forecast of demand for each rental class on the next night to use as the right$-$hand sides of the first three constraints.

Incorrect: Your answer is incorrect.

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