|At the Pleasant Haven Hotel there are 36 rooms. The profit earned when a room is sold for a night is $53.If Pleasant Haven overbooks, by selling more reservaitions than they have rooms and they end uphaving a customer whose reservation cannot be fulfilled, the loss to Pleasant Haven is $30 for that customer.Regardless of the number of rooms booked, the probability of one no show is 60% and the probabilityof 2 no shows is 20%. There is zero probability of more than 2 no shows.For a night when requests are exceeding the 36 rooms, what is the optimal number of reservations to accept?Assume there is no penalty for a customer who does not show up, i.e., Pleasant Haven does not make $53 ona customer that is a no show.What is the expected net for booking each of the following: (Net means profit minus any overbooking loss.)36 customers37 customers38 customersWhat is the best number of book?

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Answered: |At the Pleasant Haven Hotel there are…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 32P

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A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the event that the overnight temperature falls to a level well below freezing. If the temperature drops too low he runs the risk of losing his entire crop, valued at $75,000. Based on the National Weather Service, the probability of such a temperature drop is 60%. He can insulate his crop by spraying water on all the trees, which will cost $20,000. This action might succeed in protecting the crop, with the following possible outcomes: Probability Damage 0.30 $0 0.15 $5,000 0.10 $10,000 0.15 $15,000 0.30 $20,000 Construct a decision tree to help the farmer make his decision. What should he do? Explain your answer. Find the highest cost of insulating the grapefruits for which the farmer prefers to insulate his crop. Suppose the farmer is uncertain about the reliability of the National Weather Service forecast. If he thinks the probability of…
A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the event that the overnight temperature falls to a level well below freezing. If the temperature drops too low he runs the risk of losing his entire crop, valued at $75,000. Based on the National Weather Service, the probability of such a temperature drop is 60%. He can insulate his crop by spraying water on all the trees, which will cost $20,000. This action might succeed in protecting the crop, with the following possible outcomes: Probability Damage 0.30 $0 0.15 $5,000 0.10 $10,000 0.15 $15,000 0.30 $20,000 a. Construct a decision tree to help the farmer make his decision. What should he do? b. Find the highest cost of insulating the grapefruits for which the farmer prefers to insulate his crop. c. Suppose the farmer is uncertain about the reliability of the National Weather Service forecast. If he thinks the probability of a freeze occurring…
A farmer must decide whether to take protective action to limit damage to his grapefruit crop in the event that the overnight temperature falls to a level well below freezing. If the temperature drops too low he runs the risk of losing his entire crop, valued at $75,000. Based on the National Weather Service, the probability of such a temperature drop is 60%. He can insulate his crop by spraying water on all the trees, which will cost $20,000. This action might succeed in protecting the crop, with the following possible outcomes: Probability Damage 0.30 $0 0.15 $5,000 0.10 $10,000 0.15 $15,000 0.30 $20,000 Construct a decision tree to help the farmer make his decision. What should he do?
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Suppose that you have two four-sided dice that are each equally weighted (i.e. equal chance of any of the four sides landing face up). One of them has values [12.5968, 2, -2 and -12.5968] , the other [12.5968, 4, -2 and -12.5968] . Which of them has a µ of zero using the probability model approach. 1. [12.5968, 4, -2 and -12.5968] 2. [12.5968, 2, -2 and -12.5968]
Embassy Publishing Company received a six-chapter manuscript for a new college textbook. The editor of the college division is familiar with the manuscript and estimated a 0.7207 probability that the textbook will be successful. If successful, a profit of $850,000 will be realized. If the company decides to publish the textbook and it is unsuccessful, a loss of $150,000 will occur. Before making the decision to accept or reject the manuscript, the editor is considering sending the manuscript out for review. A review process provides either a favorable (F) or an unfavorable (U) evaluation of the manuscript. Past experience with the review process suggests probabilities P(F) = 0.7 and P(U) = 0.3 apply. Let s1 = the textbook is successful, and s2 = the textbook is unsuccessful. The editor's initial probabilities of s1 and s2 will be revised based on whether the review is favorable or unfavorable. The revised probabilities are as follows: P(s1|F) = 0.85 P(s2|F) = 0.15…

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