Q 22

Suppose that Romeo has the utility function U = S^{5}_{R}S^{1}_{J} and Juliet has the utility function U = S^{1}_{R}S^{5}_{J}, where S_{R} is Romeo's spaghetti consumption and S_{J} is Juliet's. They have 48 units of spaghetti to divide between them.
A) Juliet would want to give Romeo some spaghetti if she had more than 38 units.
B) Romeo would want to give Juliet some spaghetti if he had more than 24 units of spaghetti.
C) Romeo and Juliet would never disagree about how to divide the spaghetti.
D) Romeo would want to give Juliet some spaghetti if he had more than 36 units of spaghetti.
E) Juliet would want to give Romeo some spaghetti if she had more than 40 units of spaghetti.

Q 23

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 28 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) 14 gallons.
B) 4 gallons and spill 20 gallons in the creek.
C) 2 gallons and spill 24 gallons in the creek.
D) 8 gallons and spill the rest in the creek.
E) 1 gallon and spill the rest in the creek.

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.