must make its preseason program selection before knowing what the other television station will do$.$ The viewing audience gains in thousands of viewers for Station A are shown in

Determine the optimal strategy for each station.

strategy $b_1$ with probability

$x,$ implement strategy $b_2$ with probability

$x,$ and implement strategy $b_3$ with probability $.$

What is the value of the game?

The expected value of the game is