Bill Holliday isn't sure what he should do. He can build a four-apartment building, a two-apartment building, gather additional information, or simply do nothing. If he gathers additional information, the results could be favorable or unfavorable, but it would cost him $3,000 to gather it. Bill thinks there is a 50-50 chance that the information will be favorable. If the rental market is favorable, Bill will earn $15,000 with four apartments or $5,000 with two. He does not have the financial resources to pursue both options, but with an unfavorable rental market he would lose $20,000 with four apartments or $10,000 with two. Without gathering additional information, Bill estimates the probability of a favorable rental market to be 0.7. A favorable survey report would increase the probability of a favorable rental market to 0.9. Moreover, an unfavorable report of the additional information would decrease the probability of a favorable income market to 0.4. Of course, Bill can forget these numbers and not build. What would you advise Bill?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 30P
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Bill Holliday isn't sure what he should do. He can build a four-apartment building, a two-apartment building, gather additional information, or simply do nothing. If he gathers additional information, the results could be favorable or unfavorable, but it would cost him $3,000 to gather it. Bill thinks there is a 50-50 chance that the information will be favorable. If the rental market is favorable, Bill will earn $15,000 with four apartments or $5,000 with two. He does not have the financial resources to pursue both options, but with an unfavorable rental market he would lose $20,000 with four apartments or $10,000 with two. Without gathering additional information, Bill estimates the probability of a favorable rental market to be 0.7. A favorable survey report would increase the probability of a favorable rental market to 0.9. Moreover, an unfavorable report of the additional information would decrease the probability of a favorable income market to 0.4. Of course, Bill can forget these numbers and not build. What would you advise Bill?

 

 

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