game theory help

QUESTION B1 (7 marks total) Alice and Bob play the following extensive form game. There are two periods. Alice moves first in period 1 and chooses x1 6 [0,10]. In period 2, Bob observes Alice's action and chooses :02 6 [0,10]. The utility function of player i 6 {Alice, Bob} is ui(:c1,x2) = xi(9 x1 x2) x.- if x1 + x2 3 9 and ui(a:1, 3:2) = :vi if 331 + $2 > 9. Find all subgame perfect equiliabria of this game. Show your work. [Note that you need to find strategies for each player. just listing actions on the equilibrium path is not enough]