(a) Using the Optimistic criterion, which alternative is best? (b) Using the Laplace criterion, which alternative is best? (c) Using the Minimax Regret criterion, which alternative is best?

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A plant manager considers the operational cost per hour of five machine alternatives. The cost per hour is sensitive to three
potential weather conditions: cold, mild, and warm. The following table represents the operations cost per hour for each
alternative-state of nature combination:
States of Nature
Weather related cost per hour
Alternatives
Cold cost/day
Mild cost/day Warm cost/day
Machine 1
$50
$45
$40
Machine 2
$52
$42
$37
Machine 3
$48
$30
$44
Machine 4
$63
$27
$40
Machine 5
$40
$45
$60
(a) Using the Optimistic criterion, which alternative is best?
(b) Using the Laplace criterion, which alternative is best?
(c) Using the Minimax Regret criterion, which alternative is best?
Transcribed Image Text:A plant manager considers the operational cost per hour of five machine alternatives. The cost per hour is sensitive to three potential weather conditions: cold, mild, and warm. The following table represents the operations cost per hour for each alternative-state of nature combination: States of Nature Weather related cost per hour Alternatives Cold cost/day Mild cost/day Warm cost/day Machine 1 $50 $45 $40 Machine 2 $52 $42 $37 Machine 3 $48 $30 $44 Machine 4 $63 $27 $40 Machine 5 $40 $45 $60 (a) Using the Optimistic criterion, which alternative is best? (b) Using the Laplace criterion, which alternative is best? (c) Using the Minimax Regret criterion, which alternative is best?
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