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 where Player A picks

Shown below is the solution to the linear program for finding Player a's optimal mixed strategy in a two-person, zero-sum game where Player A picks between the strategies 2,, 2,, and a,, and Player B picks between the strategies B,, band b,, Constraints 1 through 3 correspond to strategies b,, b, and bs respectively. Constraint 4 is the constraint on the sum of PA1, PA2, and PA3. Objective Function Value = 2.800 Variable | Value | Reduced Costs PAL 0.070 0.000 PAD 0.650 0.000 PAB 0.280 0.000 GAINA 2.800 0.000 Constraint | Slack/Surplus | Dual Values 1 0.000 -0.600 2 0.000 0.400 3 0.000 0.000 4 0.000 2,800 (a) What is Player A's optimal mixed strategy? (If a strategy should not be picked, enter 0.) Player A should use strategy a, with probability, strategy a, with probability, and strategy a, with probability. (b) What is Player B's optimal mixed strategy? (If a strategy should not be picked, enter 0.) Player 8 should use strategy b, with probability, strategy b, with probability, and strategy 6, with probability, (c) What is Player A's expected gain? (d) What is Player B's expected loss

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