Many sports have a sequential aspect, where one team can position themselves, and then the other team chooses their response. Consider the situation in baseball, where the defensive team chooses their positioning, x, and then the offensive player may choose to hit away or to bunt. Assume that this is a zero-sum game, and that the payoff for the offense of each option is given by: Hit away: 25 + 3x. Bunt: 35 x. a) In the Nash equilibrium of this game, what is the complete strategy of the offensive player? b) In the Nash equilibrium, what is the strategy of the defensive team? c) In the Nash equilibrium, what are the payoffs to each player?