5. There are ten guitarists and five drummers who are looking to create bands. A band consisting of exactly two guitarists and one drummer generates $100 of profit. A guitarist by herself generates $10 of profit, while a drummer playing by herself generates $20 of profit. A band with any other composition generates $0 of profit. Thinking about this situation as a cooperative game, assume that a coalition of players of this game arranges the members of the coalition in a set of bands that will generate maximum total protits for the coalition and allocates the profits thus generated among the members of the coalition. Each player seeks to maximize the amount of money she receives. a. Is this game cohesive? Does it have transferable payotts? b. Find the core of this game. c. What is the core of the game if there are eleven guitarists and five drummers