I NEED AN ANSWER FOR THIS

Two players participate In a zero sum game where the resulting payoff matrix ls shown below: Player B Strategies BI 32 as as A1 0 4 3 -2 1 1.; A2 a 2 1 5 i' - _ _ 3: A3 1 S 3 0 M 2 5 3 4 Player A has 4 strategies and Player B has 4 strategies as well. Given the payoff matrix answer the following: a. is there a pure strategy in game?Justify your answer. (5 points] b. Reduce the dimensions of the matrix by identifying dominatedfdominant strategies or using the graphical method. Justify your answers. (5 points] c. Calculate the value ofthe game for player A and player B.Justify your answers. . [5 points) d. Calculate the value of the game. Justify your answer. (5 points] e. Based on the above, which strategyfies should Player A and B should choose? Justify your answer. (5 points]