our manager is quite concerned about the recent deterioration of a section of the roof on a building that houses your firm's computer operations. According to your assistant there are three options which merit consideration: A, B, and C. Moreover, there are three possible future conditions that must be included in the analysis: I, which has a probability of occurrence of .5; II, which has a probability of .3; and III, which has a probability of .2. If condition I materializes, A will cost $12,000, B will cost $20,000, and C will cost $16,000. If condition II materializes, the costs will be $15,000 for A, $18,000 for B, and $14,000 for C. If condition III materializes, the costs will be $10,000 for A, $15,000 for B, and $19,000 for C. (A) Draw a decision tree for this problem (B) Using expected monetary value, which alternative should be chosen? Explain your Answer

our manager is quite concerned about the recent deterioration of a section of the roof on a building that houses your firm's computer operations. According to your assistant there are three options which merit consideration: A, B, and C. Moreover, there are three possible future conditions that must be included in the analysis: I, which has a probability of occurrence of .5; II, which has a probability of .3; and III, which has a probability of .2. If condition I materializes, A will cost $12,000, B will cost $20,000, and C will cost $16,000. If condition II materializes, the costs will be $15,000 for A, $18,000 for B, and $14,000 for C. If condition III materializes, the costs will be $10,000 for A, $15,000 for B, and $19,000 for C. (A) Draw a decision tree for this problem (B) Using expected monetary value, which alternative should be chosen? Explain your Answer

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section9.4: The Precision Tree Add-in

Problem 9P

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A manager is quite concerned about the recent deterioration of a section of the roof on a building that houses her firm’s computer operations. According to her assistant there are three options which merit consideration: I, II, and III. Moreover, there are three possible future conditions that must be included in the analysis: A, which has a probability of occurrence of .25; B, which has a probability of .6; and C, which has a probability of .15. If condition A materializes, I will cost $12000, II will cost $20000, and III will cost $16000. If condition B materializes, the costs will be $15000 for I, $18000 for II, and $14000 for III. If condition C materializes, the costs will be $10000 for I, $15000 for I, and $19000 for III. (A) Draw a decision tree for this problem. (B) Using expected monetary value, which alternative should be chosen
A manager is quite concerned about the recent deterioration of a section of the roof on a building that houses her firm's computer operations. According to her assistant there are three options which merit consideration: I, II, and III. Moreover, there are three possible future conditions that must be included in the analysis: A, which has a probability of occurrence of .3; B, which has a probability of .5; and C, which has a probability of .2.If condition A materializes, I will cost $12,000, II will cost $20,000, and III will cost $16,000. If condition B materializes, the costs will be $15,000 for I, $18,000 for II, and $14,000 for III. If condition C materializes, the costs will be $10,000 for I, $15,000 for II, and $19,000 for III.(A) Draw a decision tree for this problem.(B) Using expected monetary value, which alternative should be chosen?
A manager is quite concerned about the recent deterioration of a section of the roof on a building that houses her firm's computer operations. According to her assistant, there are three options which merit consideration: A, B, and C. Moreover, there are three possible future conditions that must be included in the analysis: I, which has a probability of occurrence of .5; II, which has a probability of .3; and III, which has a probability of .2.If condition I materializes, A will cost USD 12,000, B will cost USD 20,000, and C will cost USD 16,000. If condition II materializes, the costs will be USD 15,000 for A, USD 18,000 for B, and USD 14,000 for C. If condition III materializes, the costs will be USD 10,000 for A, USD 15,000 for B, and USD 19,000 for C._____ alternative will yield the most profit_____ is the profit for the said alternative
A manager is quite concerned about the recent deterioration of a section of the roof on a building that houses her firm’s computer operations. According to her assistant there are three options which merit consideration: A, B, and C. Moreover, there are three possible future conditions that must be included in the analysis: I, which has a probability of occurrence of .5; II, which has a probability of .3; and III, which has a probability of .2. If condition I materializes, A will cost $1500, B will cost $2000, and C will cost $1600. If condition II materializes, the costs will be $1500 for A, $1800 for B, and $1900 for C. If condition III materializes, the costs will be $1000 for A, $1600 for B, and $1900 for C. (A) Draw a decision tree for this problem. (B) Using expected monetary value, which alternative should be chosen
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A real estate investor has the opportunity to purchase land currently zoned residential. If the county board approves a request to rezone the property as commercial within the next year, the investor will be able to lease the land to a large discount firm that wants to open a new store on the property. However, if the zoning change is not approved, the investor will have to sell the property at a loss. Profits (in thousands of dollars) are shown in the following payoff table: a. If the probability that the rezoning will be approved is 0.5, what decision is recommended? What is the expected profit? b. The investor can purchase an option to buy the land. Under the option, the investor maintains the rights to purchase the land anytime during the next three months while learning more about possible resistance to the rezoning proposal from area residents. Probabilities are as follows: Let H = High resistance to rezoning L = Low resistance to rezoning P(H) = 0.55 P(S1 | H) =…
Peter Martin will help his brother who wants to open a grocery store. Peter initially believes there is a 50-50 chance that his brother's food store will be successful. Peter is considering doing market research. Based on historical data, there is a 0.8 probability that the market research will be favorable given a successful store. Furthermore, there is a 0.7 probability that the market research will be unfavorable given an unsuccessful store. a) If the market research is favorable, what is Peter's revised probability of a successful store for his brother?b) If the market survey is unfavorable, what is Peter's revised probability of a successful store for his brother?c) If the initial probability of a successful store is 0.60 (instead of 0.50), find the probabilities of (a) and (b).
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A new minor league baseball team is coming to town and the owners have decided to build a new stadium, either small or large. The success of the team with regard to ticket sales will be either high or low with probabilities of 0.75 and 0.25, respectively. If demand for tickets is high, the large stadium would provide a payoff of approximately $20 million. If ticket sales are low, the loss on the large stadium would be $5 million. If a small stadium is constructed, and ticket sales are low, the payoff is $500,000 after deducting the cost of construction. If ticket sales are high, the team can choose to build an upper deck, or to maintain the existing facility. Expanding the stadium in this scenario has a payoff of $10 million, whereas maintaining the same number of seats has a payoff of only $3 million. a. Draw a decision tree for this problem. b. What should management do to achieve the highest expected payoff?
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