Nash Equilibrium: Continuous Action Set. Two roommates each need to choose to clean their apartment, and each can choose any amount of time t; 2 0 to clean. If their choices are t; and t;, then player i's payoff is given by (10 -t; )to - to] (This payoff function implies that the more one roommate cleans, the less valuable is cleaning for the other roommate). (a) Find a NE pair of cleaning times, (t1, t2). (b) Now suppose that Pl gets to choose her cleaning time t first, then P2 sees and responds to this with his choice t2. What are the (SPNE) cleaning times