Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN: 9781305627734
Author: Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher: Cengage Learning
Question
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Chapter 15, Problem 6P

a.

To determine

Find the expected value approach for the probabilities of 0.2 and 0.8.

b.

To determine

Find the more sensitive payoff under the state of nature s1 and s2.

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A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EQUALLY-LIKELY rule, prove your judgement by comparing the average pay-offs for each crop. (Indicate the equally likely pay-off in each crop, comparison and the right choice).
A farmer wants to decide which of the three crops he should plant on his 100-acre farm. The profit from each is dependent on the rainfall during the growing seasons. The farmer has categorized the amount of rainfall as high, medium, low. His estimated profit for each is shown in the table. If the farmer wishes to plant only one crop, decide which will be his choice using the EQUALLY-LIKELY rule, prove your judgement by comparing the average pay-offs for each crop. (Indicate the equally-likely pay-off in each crop, comparison and the right choice).
Suppose ?(?1) = 0.2 and ?(?2) = 0.8. What is the best decision using theexpected value approach?
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