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

Decision Alternative	States of Nature
s1	s2	s3
d1	240	90	15
d2	90	90	65

(a)Construct a decision tree for this problem.

Decision Tree

1

2

3

d₁

d₂

s₁

s₂

s₃

s₁

s₂

s₃

A decision tree has 6 answer blanks.

The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. States of Nature Decision Alternative 51 d1 240 90 15 d2 90 90 65 (a) Construct a decision tree for this problem. Decision Tree Description 51 53 1 51 $2 53 (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? The recommended decision using the optimistic approach is | d, . The recommended decision using the conservative approach is d. . The recommended decision using the minimax regret approach is | d