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

The following payoff table shows prot for a decision analysis problem with two decision alternatives and three states of nature: State of Nature Decision Alternative 81 52 33 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, consewative, and minimax regret approaches