Statistics - Assignment: HW Sec. 8.6

Assignment: HW Sec. 8.6
Assignment Score: 0.00%
Save

Exit

Submit Assignment for Grading

Questions
Problem 08-05 (Algorithmic)

Question 1 of 6

1.
2.
Problem 8-5
3.
4.

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:

5.

Rental Class

6.

Super Saver Deluxe Business
Type I
Room

$30

$35

-

Type II

$15

$25

$35

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 130 rentals in the Super Saver
class, 65 rentals in the Deluxe class, and 45 rentals in the Business class. Round Tree has 90 Type I rooms
and 130 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.
Rental Class with room type

No 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
Demand by

- Select your answer -

rental class was not satisfied.

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

(b) How many reservations can be accommodated in each rental class?
Rental Class

No of Reservations

Super Saver I
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?
- Select your answer Explain.
The input in the box below will not be graded, but may be reviewed and considered by your
instructor.
blank

(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?
Type I
Shadow Price $
Convert an unused office area to

Type II
$
- Select your answer -

room.

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

(e) Could the linear programming model be modified to plan for the allocation of rental demand for the
next night?
- Select your answer -

What information would be needed and how would the model change? Explain.
The input in the box below will not be graded, but may be reviewed and considered by your
instructor.
blank

Icon Key

Problem 08-05 (Algorithmic)
Save

Exit

Submit Assignment for Grading

Cengage Learning
Cengage Technical Support

Question 1 of 6