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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 WH is Hatfield's whisky consumption and WM 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
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