Consider the following two-person zero-sum game. Assume the two players have the same three strategy options. The payoff table below shows the gains for Player A. Player B Player A Strategy b1 Strategy b2 Strategy b3 Strategy a1 5 6 -1 Strategy a2 1 1 2 Strategy a3 4 5 3 a. Is there an optimal pure strategy for this game? If so, what is it? b. If not, can the mixed-strategy probabilities be found algebraically? What is the value of the game? Player B Player A Strategy b1 Strategy b2 Strategy b3 Strategy a1 5 6 -1 Strategy a2 1 1 2 Strategy a3 4 5 3.