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 .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

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter9: Decision Making Under Uncertainty

Section: Chapter Questions

Problem 37P

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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: 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
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