Two people, A & B, play a game in which they choose and divide a prize. A decides how large the total prize should be; she can choose either $10 or $100. B chooses how to divide the prize chosen by A: B can choose either an equal division or a split where she gets 90% and A gets 10%. Write down the matrix of payoff or tree of the game and find the equilibria for each of the following situations: When the moves are simultaneous,When A moves first,When B moves first