Q 24

Hatfield and McCoy burn with hatred for each other. They both consume corn whisky. Hatfield's utility function is and McCoy's utility is , where W_{H} is Hatfield's whisky consumption and W_{M} is McCoy's whisky consumption, measured in gallons. The sheriff has a total of 60 gallons of confiscated whisky which he could give back to them. For some reason, the sheriff wants them both to be as happy as possible and he wants to treat them equally. The sheriff should give them each
A) 30 gallons.
B) 20 gallons and spill 20 gallons in the creek.
C) 24 gallons and spill the rest in the creek.
D) 10 gallons and spill 40 gallons in the creek.
E) 5 gallons and spill the rest in the creek.

Q 25

Hatfield and McCoy burn with hatred for each other. They both consume corn whisky. Hatfield's utility function is and McCoy's utility is , where W_{H} is Hatfield's whisky consumption and W_{M} is McCoy's whisky consumption, measured in gallons. The sheriff has a total of 58 gallons of confiscated whisky which he could give back to them. For some reason, the sheriff wants them both to be as happy as possible and he wants to treat them equally. The sheriff should give them each
A) 2 gallons and spill 54 gallons in the creek.
B) 4 gallons and spill 50 gallons in the creek.
C) 29 gallons.
D) 8 gallons and spill the rest in the creek.
E) 1 gallon and spill the rest in the creek.

Q 26

A tiny fishing village has 3 residents. Ann has a utility of 10, Bruce has a utility of 6, and Charlie has a utility of 7. If the mayor uses a Rawlsian social welfare function, the social welfare of this tiny village would be
A)6
B)10
C)23
D)420
E) 20.49.