The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature:                          State of  Nature   Decision Alternative                               S1      S2        S3                d1                             250     100        25               d2                             100     100        75               1) Construct a decision tree for this problem. 2) If the decision maker knows nothing about the probabilities of the three states of nature, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?

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The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature:

 

                       State

of  Nature

 

Decision Alternative

                              S1

     S2        S3

 

             d1

                            250

    100        25

 

            d2

                            100

    100        75

 
         

 

1) Construct a decision tree for this problem.

2) If the decision maker knows nothing about the probabilities of the three states of nature, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?

 

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