Question: 3-24. (12 pts) Make decision with MiniMax Regret Method Step 1 . Construct regret table. The given Payoff (profit) table, and column maximums. States of
3-24. (12 pts) Make decision with MiniMax Regret Method
Step 1. Construct regret table.
The given Payoff (profit) table, and column maximums.
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| States of Nature | ||
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| Strong market | Fair market | Poor market |
| Decision Alternatives | Large facility | 550,000 | 110,000 | -310,000 |
| Medium facility | 300,000 | 129,000 | -100,000 | |
| Small facility | 200,000 | 100,000 | -32,000 | |
| No facility | 0 | 0 | 0 | |
| Column maximum | 550,000 | 129,000 | 0 | |
Add a new row, Column Maximum, in the above payoff table, as Ive done for you.
Find the maximum of each column and put them in the payoff table above.
Calculate regrets by using a column-Max minus each element in the same column. Put the results in the regret table below.
The Regret Table of the above payoff table:
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| States of Nature | Row Maximum | ||
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| Strong market | Fair market | Poor market | |
| Decision Alternatives | Large facility |
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| Medium facility |
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| Small facility |
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| No facility |
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Step 2. In the Regret Table, find the maximum of each row, and put them in Row Maximum column.
Step 3. Find the value of MiniMax, the minimum of those row maximums,
MiniMax = _______________, which is associated with alternative _____________.
Therefore, the decision is alternative ________________.
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