For the Given Row Strategy R, Find the Optimal Pure $$P = \left[ \begin{array} { c c c } 0 & - 1 & 5 \\2 & - 2 & 4 \\0 & 3 & 0 \\1 & 0 & - 5\end{array} \right]$$

Multiple Choice

For the given row strategy R, find the optimal pure strategy (or strategies) the other player should use. Express the answer as a row or column matrix. Also determine the resulting expected value of the game. $$P = \left[ \begin{array} { c c c } 0 & - 1 & 5 \\2 & - 2 & 4 \\0 & 3 & 0 \\1 & 0 & - 5\end{array} \right]$$ , $R = [ 0.7,0.3,0,0 ]$

A) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.3
B) The strategy is $[ 1,0,0 ] ^ { T }$ ; the resulting expected value of the game is -1.3
C) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -1.3
D) The strategy is $[ 0,0,1 ] ^ { T }$ ; the resulting expected value of the game is -1.3
E) The strategy is $[ 0,1,0 ] ^ { T }$ ; the resulting expected value of the game is -0.8