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A decision maker faced with four decision alternatives and four states of nature develops the following profit payoff table. States of Nature Decision Alternative 51

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A decision maker faced with four decision alternatives and four states of nature develops the following profit payoff table. States of Nature Decision Alternative 51 57 53 54 1 13 4 d z 10 g 7 6 d3 8 g 10 da 7 9 10 12 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(d4) The optimal decision is [? v . (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

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