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

                                            State of Nature

Decision Alternatives        s1        s2        s3

d1                                250     100       25

d2                                100     100       75

a. Construct a decision tree for this problem.

b. 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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