Suppose that three coworkers must decide which radio station to listen to while they are working. Agent 1 has the following utility: 5 if its station 1, 0 if its station 2 and 2 if its station 3. For agent 2, its 3, 5 and 1 respectively and for agent 3, its 0, 3 and 6.

(a) Find the classical utilitarian choice

(b) Find the egalitarian choice when we can only choose one station to play all of the time. (c) Find the egalitarian choice when we can time-share between the stations. If you cant nd a precise answer, at least provide an improvement over the result in b.