3 Consider the two-person zero-sum game in Table 51.

a Write down each player’s LP.

b We are told that player 1’s optimal strategy has x1 > 0, x2  0, and x3 > 0. Find the value of the game and each player’s optimal strategies.

c Suppose the column player plays the nonoptimal strategy ( 1/2

, 1/2

, 0). Show how the row player can earn an expected reward that exceeds the value of the game.