The following payoff table snows profit för å decision analysis problem with two decision alternatives and three states nature: State of Nature Decision Alternative S S2 S3 di 150 100 25 d2 100 100 75 (a) Choose the correct decision tree for this problem. (i) (ii) 150 150 di 2 $2 2 100 di $3 100 25 dz 25 100 dz 82 3 100 $3 75 75 (ii) (iv) dp 150 150 S1 2 100 100 di $2 100 100 $2 3 S2 100 100 dz $3 25 25 4 $3 4 $3 75 75 - Select your answer - v (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? Lontimistic anproach . Select vour answer Y

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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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
di
150
100 25
d2
100
100
75
(a) Choose the correct decision tree for this problem.
(i)
(ii)
S1
150
150
$2
2
100
di
$3
100
25
83
d2
25
100
d2
$2
3
3
100
$3
S3
75
75
(iii)
S1
(iv)
150
150
2
2
d2
100
100
100
100
S2
3
3
$2
100
100
d2
$3
di
25
25
$3
4
S3
75
75
|- Select your answer - v
(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?
Optimistic approach
Select your answer - v
Conservative approach
Select your answer - V
Minimax regret approach
- Select your answer
Transcribed Image Text: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 di 150 100 25 d2 100 100 75 (a) Choose the correct decision tree for this problem. (i) (ii) S1 150 150 $2 2 100 di $3 100 25 83 d2 25 100 d2 $2 3 3 100 $3 S3 75 75 (iii) S1 (iv) 150 150 2 2 d2 100 100 100 100 S2 3 3 $2 100 100 d2 $3 di 25 25 $3 4 S3 75 75 |- Select your answer - v (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? Optimistic approach Select your answer - v Conservative approach Select your answer - V Minimax regret approach - Select your answer
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