b. How many reservations can be accommodated in each rental dass? 4 of reservations Rental Class SuperSaver Deluxe Business c. Management is considering offering a free breakfast to anyone upgrading from a Super Saver reservation to Deluxe class. If the cost of the breakfast to Round Tree is $5, should this incentive be offered? d. 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? 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.

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## Rental Class Allocation and Management Decisions

### b. Rental Class Capacity
This section includes a table for planning how many reservations can be accommodated in each rental class.

#### Table: Rental Class and Number of Reservations
| Rental Class | # of Reservations |
|--------------|-------------------|
| SuperSaver   |                   |
| Deluxe       |                   |
| Business     |                   |

### c. Incentive Consideration
**Scenario:** Management is considering offering a free breakfast to anyone upgrading from a SuperSaver reservation to a Deluxe class. If the cost of the breakfast to Round Tree is $5, should this incentive be offered?

### d. Office Area Conversion
**Scenario:** 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?

**Decision:** [Dropdown selection]

**Justification:** Explain your reasoning here. 

(The input in this box will not be graded, but may be reviewed and considered by your instructor.)

### e. Linear Programming Model Modification
**Scenario:** Could the linear programming model be modified to plan for the allocation of rental demand for the next night?

**Decision:** [Dropdown selection]

**Discussion:** Detail what information would be needed and how the model could change. 

(The input in this box will not be graded, but may be reviewed and considered by your instructor.)
Transcribed Image Text:## Rental Class Allocation and Management Decisions ### b. Rental Class Capacity This section includes a table for planning how many reservations can be accommodated in each rental class. #### Table: Rental Class and Number of Reservations | Rental Class | # of Reservations | |--------------|-------------------| | SuperSaver | | | Deluxe | | | Business | | ### c. Incentive Consideration **Scenario:** Management is considering offering a free breakfast to anyone upgrading from a SuperSaver reservation to a Deluxe class. If the cost of the breakfast to Round Tree is $5, should this incentive be offered? ### d. Office Area Conversion **Scenario:** 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? **Decision:** [Dropdown selection] **Justification:** Explain your reasoning here. (The input in this box will not be graded, but may be reviewed and considered by your instructor.) ### e. Linear Programming Model Modification **Scenario:** Could the linear programming model be modified to plan for the allocation of rental demand for the next night? **Decision:** [Dropdown selection] **Discussion:** Detail what information would be needed and how the model could change. (The input in this box will not be graded, but may be reviewed and considered by your instructor.)
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:

| Room    | Super Saver | Deluxe | Business |
|---------|-------------|--------|----------|
| Type I  | $38         | $43    | —        |
| Type II | $16         | $28    | $45      |

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.

| Variable                                   | # of reservations |
|--------------------------------------------|-------------------|
| Super Saver rentals allocated to room type I |                   |
| Super Saver rentals allocated to room type II|                   |
| Deluxe rentals allocated to room type I      |                   |
| Deluxe rentals allocated to room type II     |                   |
| Business rentals allocated to room type II   |                   |

Is the demand by any rental class not satisfied?

<select>
<option value="">Select an option</option>
</select>

Explain.

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

<textarea></textarea>
Transcribed Image Text: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: | Room | Super Saver | Deluxe | Business | |---------|-------------|--------|----------| | Type I | $38 | $43 | — | | Type II | $16 | $28 | $45 | 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. | Variable | # of reservations | |--------------------------------------------|-------------------| | Super Saver rentals allocated to room type I | | | Super Saver rentals allocated to room type II| | | Deluxe rentals allocated to room type I | | | Deluxe rentals allocated to room type II | | | Business rentals allocated to room type II | | Is the demand by any rental class not satisfied? <select> <option value="">Select an option</option> </select> Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. <textarea></textarea>
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