Abe, Beth, Charles, and David have decided to invest in rare coins. A dealer has oered...

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Abe, Beth, Charles, and David have decided to invest in rarecoins. A dealer has oered to sell them a parcel containing 100identical coins for $10, 000. Each person invests all that he orshe can aord, but there is not quite enough money, so Charles askshis Aunt Esther to join the group. The coins will be apportioned bythe Hamilton method. Here are the amounts contributed: Abe: $3, 619Beth: $1, 862 Charles: $2, 258 David: $2, 010 Esther: $251 Total:$10, 000 (a) How should the coins be apportioned among the vecontributors? (b) After the coins are distributed, the dealermentions that there will be $50 in excise tax. Everyone empties hisor her wallet: Abe nds $16 more, Beth has $2, Charles has $1, andDavid nds $32. This adds up to $51, so $1 is returned to AuntEsther. The apportionment is recalculated. Does one of the coinschanges hands? If so, who has to give a coin to whom? Explain whathappened.

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Abe, Beth, Charles, and David have decided to invest in rarecoins. A dealer has oered to sell them a parcel containing 100identical coins for $10, 000. Each person invests all that he orshe can aord, but there is not quite enough money, so Charles askshis Aunt Esther to join the group. The coins will be apportioned bythe Hamilton method. Here are the amounts contributed: Abe: $3, 619Beth: $1, 862 Charles: $2, 258 David: $2, 010 Esther: $251 Total:$10, 000 (a) How should the coins be apportioned among the vecontributors? (b) After the coins are distributed, the dealermentions that there will be $50 in excise tax. Everyone empties hisor her wallet: Abe nds $16 more, Beth has $2, Charles has $1, andDavid nds $32. This adds up to $51, so $1 is returned to AuntEsther. The apportionment is recalculated. Does one of the coinschanges hands? If so, who has to give a coin to whom? Explain whathappened.