Question: Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game. OBJECTIVE FUNCTION VALUE =
Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game.
| OBJECTIVE FUNCTION VALUE = 3.500 | ||
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| VARIABLE | VALUE | REDUCED COSTS |
| PA1 | 0.050 | 0.000 |
| PA2 | 0.600 | 0.000 |
| PA3 | 0.350 | 0.000 |
| GAINA | 3.500 | 0.000 |
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| CONSTRAINT | SLACK/SURPLUS | DUAL PRICES |
| 1 | 0.000 | 0.500 |
| 2 | 0.000 | 0.500 |
| 3 | 0.000 | 0.000 |
| 4 | 0.000 | 3.500 |
| a. | What is Player A's optimal mixed strategy? |
| b. | What is Player B's optimal mixed strategy? |
| c. | What is Player A's expected gain? |
| d. | What is Player B's expected loss? |
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