A decision maker faced with four decision altematives and four states of nature develops the following profit payoff table. States of Nature Decision Alternative s. 52 5 5. d. 12 7 3 5 d, 7 d. 6 8 9 11 The decision maker obtains information that enables the following probabilities assessments: P(s,) = 0.5, P(s,) = 0.2, P(s,) = 0.2, and P(s,) = 0.1. (a) Use the expected value approach to determine the optimal decision. EV(d,) EV(d,) EV(d,) EV(d.) The optimal decision is (b) Now assume that the entries in the payoff table are costs. Use the expected value approach to determine the optimal decision. The optimal decision is ? v in

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A decision maker faced with four decision altematives and four states of nature develops the following profit payoff table.
States of Nature
Decision
Alternative
s. 52 5 5.
d.
12
7
3
5
d,
7
d.
6
8
9
11
The decision maker obtains information that enables the following probabilities assessments: P(s,) = 0.5, P(s,) = 0.2, P(s,) = 0.2, and P(s,) = 0.1.
(a) Use the expected value approach to determine the optimal decision.
EV(d,)
EV(d,)
EV(d,)
EV(d.)
The optimal decision is
(b) Now assume that the entries in the payoff table are costs. Use the expected value approach to determine the optimal decision.
The optimal decision is ? v
in
Transcribed Image Text:A decision maker faced with four decision altematives and four states of nature develops the following profit payoff table. States of Nature Decision Alternative s. 52 5 5. d. 12 7 3 5 d, 7 d. 6 8 9 11 The decision maker obtains information that enables the following probabilities assessments: P(s,) = 0.5, P(s,) = 0.2, P(s,) = 0.2, and P(s,) = 0.1. (a) Use the expected value approach to determine the optimal decision. EV(d,) EV(d,) EV(d,) EV(d.) The optimal decision is (b) Now assume that the entries in the payoff table are costs. Use the expected value approach to determine the optimal decision. The optimal decision is ? v in
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