Based upon the table provided in the images answer these questions:

Player $1$a$)$ Suppose $x=4$ and $y=3.$ After all strategies that are dominated by a pure

strategy are iteratively deleted for both players, how many strategies remain for

Player $1?$

b$)$ Suppose $x=4$ and $y=3.$ After all strategies that are dominated by a pure

strategy are iteratively deleted for both players, how many strategies remain for

Player $2?$

c$)$ Suppose $x=4$ and $y=3.$ What is the sum of both players' payoffs in all pure

strategy Nash equilibria of the game?

d$)$ Suppose $x=4$ and $y=11.$ After all strategies that are dominated by a pure

strategy are iteratively deleted for both players, how many strategies remain for

Player $1?$

e$)$ Suppose $x=4$ and $y=11.$ After all strategies that are dominated by a pure

strategy are iteratively deleted for both players, how many strategies remain for

Player $2?$

f$)$ Suppose $x=4$ and $y=11.$ What is the sum of both players' payoffs in all pure

strategy Nash equilibria of the game?