4. Leroy, Sally, and Bugs are detectives. They want to form detective agencies. The table below gives how much total profit an agency with the given partners would make. Consider a set of partners in an agency as a coalition and an action of the coalition as a distribution of the profits of the agency among its partners. Partners Profit Sally Leroy Bugs Leroy and Sally - Leroy and Bugs - Sally and Bugs \" Leroy, Sally, and Bugs a. Verify that this game is cohesive and has transferable payoft. b. Find the core of this game. c. How would the core be different if the value of the grand coalition were 50 instead of 40?7 What if the value of the grand coalition were 39