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Question 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza See data in the table which shows the gross revenues for the oil well that is found. Decision Drill Abandon Probability Dry (D) $0 $0 0.3 No structure(N) Open (0) Closed (C) | Seismic Results Reasonably good (G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure. The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza (B) Note that if the test result is "no structure the company can sell the land to a developer for 50 m otherwise (for the other results) it can abandon the drilling idea at no benefit to itself $200 m $0 0.4 Dry(d) 0.7 0.2 0.1 Conditional Probability for a given state of nature Reasonably good g 0.3 0.3 0.4 Bonanza (6) 0.1 0.4 0.5

Question 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza See data in the table which shows the gross revenues for the oil well that is found. Decision Drill Abandon Probability Dry (D) $0 $0 0.3 No structure(N) Open (0) Closed (C) | Seismic Results Reasonably good (G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure. The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza (B) Note that if the test result is "no structure the company can sell the land to a developer for 50 m otherwise (for the other results) it can abandon the drilling idea at no benefit to itself $200 m $0 0.4 Dry(d) 0.7 0.2 0.1 Conditional Probability for a given state of nature Reasonably good g 0.3 0.3 0.4 Bonanza (6) 0.1 0.4 0.5

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza. See data in the table which shows the gross revenues for the oil well that is found. Decision Drill $0 Abandon $0 Probability 0.3 Dry (D) Seismic Results No structure(N) Open(0) Closed (C) Reasonably good(G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure". The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza(B) Note that if the test result is "no structure" the company can sell the land to a developer for 50 m. otherwise (for the other results) it can abandon the drilling idea at no benefit to itself. $200 m $0 0.4 Dry(d) 0.7 0.2 0.1 Conditional Probability for a given state of nature Reasonably good(g) 0.3 0.3 0.4 Bonanza(b) 0.1 0.4 0.5
Transcribed Image Text:Question 2 An oil company must decide whether or not to drill an oil well in a particular area that they already own. The decision maker (DM) believes that the area could be dry, reasonably good or a bonanza. See data in the table which shows the gross revenues for the oil well that is found. Decision Drill $0 Abandon $0 Probability 0.3 Dry (D) Seismic Results No structure(N) Open(0) Closed (C) Reasonably good(G) $85 $0 0.3 Drilling costs 40M. The company can take a series of seismic soundings at a cost of 12M) to determine the underlying geological structure. The results will be either "no structure", "open structure or "closed structure". The reliability of the testing company is as follows that is, this reflects their historical performance. Bonanza(B) Note that if the test result is "no structure" the company can sell the land to a developer for 50 m. otherwise (for the other results) it can abandon the drilling idea at no benefit to itself. $200 m $0 0.4 Dry(d) 0.7 0.2 0.1 Conditional Probability for a given state of nature Reasonably good(g) 0.3 0.3 0.4 Bonanza(b) 0.1 0.4 0.5
That is P (N/D)=0.7; P (O/G)=0.3, P(C/B) =0.5 After you have computed the revised probabilities round to two decimal places a) Construct the appropriate decision tree to help the oil company make the appropriate decisions. This tree must be constructed in logical order with labels and net payoffs. It also includes the revised probabilities. b) Fold back the decision tree to determine the best strategy for the company; you must state this strategy. What is the final expected profit? c) What is the expected value of sample information (EVSI)- the most that should be paid to seismic testing firm for the test? d) Calculate the expected value of perfect information (EVPI)- the most that should be paid to an expert for perfect prediction of the uncertain outcomes. e) What is the efficiency of sample information?
Transcribed Image Text:That is P (N/D)=0.7; P (O/G)=0.3, P(C/B) =0.5 After you have computed the revised probabilities round to two decimal places a) Construct the appropriate decision tree to help the oil company make the appropriate decisions. This tree must be constructed in logical order with labels and net payoffs. It also includes the revised probabilities. b) Fold back the decision tree to determine the best strategy for the company; you must state this strategy. What is the final expected profit? c) What is the expected value of sample information (EVSI)- the most that should be paid to seismic testing firm for the test? d) Calculate the expected value of perfect information (EVPI)- the most that should be paid to an expert for perfect prediction of the uncertain outcomes. e) What is the efficiency of sample information?
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