Help me solve part (b). Thank you!!

Question 2: Suppose that Jack and Jill have two options for how to spend the evening. They'll decide between a basketball game and a play later in the day, and then Jack has to leave on a flight and won't be back for 10 years. Unfortunately, before they are able to decide, their phone batteries die and they are unable to communicate. Since Jill has to see Jack tonight, they will have to try to figure out where to go. The game plays out simultaneously and the payoffs are utility levels. The first payoff in each outcome goes to Jill, the second payoff to Jack. JACK : BASKETBALL : 0 Jack PLAY : 1 Play Basketball JACK AND JILL Play (1, 2) (0, 0) BOTH HAVE A JILL : Jill Basketball (0, 0) (2, 1) DOMINANT STRATEGY BASKETBALL : 0 PLAY : 2 a. Develop the strategies of the game for each player. Are there any dominant or mixed strategies? b. What are the Nash Equilibria