1. A firm is considering the decision of investing in new plants. The following is the profit payoff matrix under three conditions: it does not expand, it builds two new plants, or it builds one new plant. Three possible states of nature can exist--no change in the economy, the economy contracts and the economy grows. The firm has no idea of the probability of each state. no new plants 1 new plant 2 new plants State of Economy expands $20 million $30 million $40 million Which option would the firm choose under each of the following rules? a. Maximax rule b. Maximin rule C. Minimax regret rule d. Equal probability rule contracts -$ 3 million -$6 million -$12 million unchanged $4 million $6 million $8 million

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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A firm is considering the decision of investing in new plants. The following is the profit payoff matrix under three
conditions: it does not expand, it builds two new plants, or it builds one new plant. Three possible states of nature can
exist--no change in the economy, the economy contracts and the economy grows. The firm has no idea of the probability
of each state.
1.
no new
plants
1 new plant
2 new plants
State of Economy
expands
$20 million
$30 million
$40 million
Which option would the firm choose under each of the following rules?
a. Maximax rule
b. Maximin rule
C. Minimax regret rule
d. Equal probability rule
contracts
-$ 3 million
-$ 6 million
-$12 million
unchanged
$4 million
$6 million
$8 million
Transcribed Image Text:A firm is considering the decision of investing in new plants. The following is the profit payoff matrix under three conditions: it does not expand, it builds two new plants, or it builds one new plant. Three possible states of nature can exist--no change in the economy, the economy contracts and the economy grows. The firm has no idea of the probability of each state. 1. no new plants 1 new plant 2 new plants State of Economy expands $20 million $30 million $40 million Which option would the firm choose under each of the following rules? a. Maximax rule b. Maximin rule C. Minimax regret rule d. Equal probability rule contracts -$ 3 million -$ 6 million -$12 million unchanged $4 million $6 million $8 million
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