Consider the game having the following pay off table

Strategy
Player 1 = x
Player 2 = y
(x,y)
(1,1) = 5
(1,2) = 0
(1,3) = 3
(1,4) = 1
(2,1) = 2
(2,2) = 4
(2,3) = 3
(2,4) = 2
(3,1) = 3
(3,2) = 2
(3,3) = 0
(3,4) = 4

In the table form Player 1 on the left side, Player 2 on top.

Question:

Formulate the problem of finding optimal mixed strategies according to the minimax criterion as a linear programming problem