please show the work

Problem 2: [30 pts] Player 1 {row player) and player 2 [column player) simultaneously choose actions in the following normal form game: ---- 141 3,1 0,0 [1,0 3] 0,0 4,1 [1,0 mm Part a: {5 pm] What are the pure strategies of player 1 that are strictlyr dominated? For every such strategy, give an example of a strategy (either pure or mixed] that strictly dominates it. For every strategy that is not strictly dominated, explain why not. Part b." ,5 fits] What are all of the rationalizable strategies of each player? Explain your reasoning. Part c: {10' ptsf Find all of the pure strategy Nash equilibria of this game. Part d: [10' pts] Find all of the mixed strategy Nash equilibria [that are not pure strategy Nash equilibria] of this game. Show your work