Set up the game for the following scenarios and solve for all N.E. 6. Jack and Diane are so in love that they get no enjoyment from being apart. Each of them gets some enjoyment from being together, but receives twice as much enjoyment from being in his or her preferred location. Jack wants to go to the city and Diane wants to go to the lake. Assume the game is simultaneous. 7. Raul and Callum are business partners working on a new project. Each can choose to put his resources toward a group project which, if they both choose to pursue it, would yield each of them $40,000 in profit. If either of them puts his resources toward his private project, the one who pursues the group project will earn no profit. If only one pursues the private project he will earn $30,000, but if they both work on the private project each earns only $20,000. Both Rowan and Callum must decide which project to pursue without knowing for sure what the other will do.