Consider the Following Two-Person, Zero-Sum Game

Essay

Consider the following two-person, zero-sum game. Payoffs are the winnings for Company X. Formulate the linear program that determines the optimal mixed strategy for Company X. $$\begin{array} { c | c c c } && { \text { Company Y Strategies } } \\\text { Company X Strategies } & y _ { 1 } & y _ { 2 } & y _ { 3 } \\\hline x _ { 1 } & 4 & 3 & 9 \\x _ { 2 } & 2 & 5 & 1 \\x _ { 3 } & 6 & 1 & 7\end{array}$$