Use the following payoff matrix for a simultaneous$-$move one$-$shot game to answer the accompanying questions.

$\backslash$table$[[,,$Player $2],[,$Strategy,C$,$D$,$E$,$F$],[$Player $1,$A$,6,14,7,11,18,20,10,19],[$B$,12,5,15,1,7,25,16,17]]$

a$.$ What is player $1\text{'}$s optimal strategy?

Strategy A

Strategy B

Player $1$ does not have an optimal strategy.

b$.$ Determine player $1\text{'}$s equilibrium payoff.

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