From chapter $11$ of Salvatore, complete Problem $2($page $488).$

From the following payoff matrix, where the payoffs are the profits or losses of the two firms,

determine $($a$)$ whether firm A has a dominant strategy, $($b$)$ whether firm B has a dominant

strategy, $($c$)$ the optimal strategy for each firm, and $($d$)$ the Nash equilibrium, if there is one.

From chapter $11$ of Salvatore, complete Problem $7($page $489).$

$4.$ Do firms A and B in Problem $3$ above $($text #$2$ page $488)$ face the prisoners' dilemma? Why?