The CEO of Lucky Petroleum Co. has been considering to open a new gasoline statioin. He must decide how large the station should be. The annual returns (IDR billions) will depend on both the size of the station and market factor. After a careful analysis he developed the following table: Size of Station Good Market Fair Market Poor Market Small 50 20 -10 Medium 70 30 -20 Large 100 50 -30 Probability 0.5 0.3 0.2 Compute the expected value of each alternative size of station, and select the best decision. Construct the opportunity loss table and determine the best decision. Compute the expected value of perfect information.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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The CEO of Lucky Petroleum Co. has been considering to open a new gasoline statioin. He must decide how large the station should be. The annual returns (IDR billions) will depend on both the size of the station and market factor. After a careful analysis he developed the following table:

Size of Station

Good Market Fair Market

Poor Market

Small

50

20

-10

Medium

70

30

-20

Large

100

50

-30

Probability

0.5

0.3

0.2

  1. Compute the expected value of each alternative size of station, and select the best decision.

  2. Construct the opportunity loss table and determine the best decision.

  3. Compute the expected value of perfect information.

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