35. The matrix below shows the paY-off in a 3 x 3 game between two players X and Y. Xis maximising player and Ythe minimising player.

(a) Formulate a suitable Linear Programme model of the game with respect to the minimising player Y and derive the optimal strategy for Y.

(b) Write down the dual of the above Linear Programme and derive the solution to the dual from the optimal tableau of the primal and interpret the meaning of this solution.

X Y 1 -1 -1 -1 -1 3 -1 4 I-