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(2) (160 points) The North Rising Hotel has 180 rooms, which are booked at three

ID: 1163357 • Letter: #

Question

(2) (160 points) The North Rising Hotel has 180 rooms, which are booked at three different rates: $79, $99 and $129 per night via three distinct marketing programs. The manager has provided you with the following forecast by rate for five days in November $79 $99 $129 40 Monday90 Tuesday12070 40 30 Wednesday 1108060 Thursday 80 60 30 Friday100 30 10 Saturday50 Sunday 10 15 30 In addition, she has compiled the following length-of-stay distributions 4-night 5% 096 096 5% 5% 096 096 3-night 15% ni 50% 60% 70% 80% 50% 90% 100% ni Monday Tuesday Wednesday Thursday Friday Saturday Sunday 30% 10% 40% 10% 0% 1096 5% 5% 0% 0% For example, this means that 50% of all Monday arrivals want to stay for one night, 30% want to stay for two nights, 15% want to stay for three nights, and 596 want to stay for four nights. Assume that, for each day of arrival, the same length-of-stay distribution applies for all three nightly rates. What is the optimal booking policy for the seven-day period? That is, for each day of arrival, how many reservations should be accepted for each combination of room rate and length of stay? What is the resulting revenue?

Explanation / Answer

Resulting Revenue: Monday

Resulting Revenue: Tuesday

Resulting Revenue: Wednesday

Resulting Revenue: Thursday

Reservations to be accepted for each combination of room rate and length of stay: Friday

Resulting Revenue: Friday

Reservations to be accepted for each combination of room rate and length of stay: Saturday

Resulting Revenue: Saturday

Reservations to be accepted for each combination of room rate and length of stay: Sunday

Resulting Revenue: Sunday

Resulting Revenue is in $ for all the days.

Room Rate 1 night 2 nights 3 nights 4 nights $79 45.0 27.0 13.5 4.5 $99 20.0 12.0 6.0 2.0 $129 15.0 9.0 4.5 1.5