Hatfield and McCoy Burn with Hatred for Each Other

question 22

Multiple Choice

Hatfield and McCoy burn with hatred for each other.They both consume corn whisky.Hatfield's utility function is U = W_H - W ²_M /16 and McCoy's utility is U = W_M - W²_H /16, 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 66 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)8 gallons and spill 50 gallons in the creek.
• B)33 gallons.
• C)12 gallons and spill the rest in the creek.
• D)4 gallons and spill 58 gallons in the creek.
• E)2 gallons and spill the rest in the creek.

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Definitions:

Peripheral Nervous System

The part of the nervous system that consists of nerves and ganglia outside of the brain and spinal cord, connecting the central nervous system to limbs and organs.

Circulatory System

The body's system responsible for the movement of blood and lymph, facilitating the distribution of nutrients, oxygen, and waste removal.

Run

To move at a speed faster than a walk, continually propelling oneself forward with legs.

Motor Neurons

Nerve cells that initiate and control the movement of muscles.