Shown Below Is the Solution to the Linear Program for Finding

question 21

Essay

Shown below is the solution to the linear program for finding Player A's optimal mixed strategy in a two-person, zero-sum game. $\text { OBJECTIVE FUNCTION VALUE }=3.500$
$\begin{array}{ccc}\text { VARIABLE } & \text { VALUE } & \text { REDUCED COSTS } \\\text { PA1 } & 0.050 & 0.000 \\\text { PA2 } & 0.600 & 0.000 \\\text { PA3 } & 0350 & 0.000 \\\text { GAINA } & 3.500 & 0.000\end{array}$

$\begin{array}{ccc}\text { CONSTRAINT } & \text { SLACK/SURPLUS } & \text { DUAL PRICES } \\\hline 1 & 0.000 & -0.500 \\2 & 0.000 & -0.500 \\3 & 0.000 & 0.000 \\4 & 0.000 & 3.500\end{array}$
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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