Which of the following would be a utility function for a risk-seeking preference? That is, for which utility(s) would Pacman prefer entering a lottery for a random food pellet, with expected size s, over receiving a pellet of size s? O U(r)=0 O U(r)=3 O U(r)=r O U(r)=2r+4 O U(r)=r O U(r) =7 O U(r) = r? O U(r)=vr O U(r)=yr Our Pacman board now has food pellets of 3 different sizes - pellet P;of radius 1, F5 of radius 2 and P; of radius 3. In different moods, Pacman has different preferences among these pellets. In each of the following questions, you are given Pacman's preference for the different pellets. From among the options pick the utility functions that are consistent with Pacman's preferences, where each utility function U(r) is given as a function of the pellet radius 7, and is defined over non- negative values of r