A, B, C, and D are heirs to two items. Each is entitled to an equal share of the inheritance.?

They agree to use the method of sealed bids and their bids are recorded in the following table. In addition to any Items A might receive, how much cash does A get at the final conclusion of the sealed bids process? Enter a negative number (e.g.; -567) if A owes cash at the conclusion. Round off to the nearest dollar when necessary. Write a numeric answer using no dollar signs or commas. For example, $23,567 should be entered as 23567.




















A








B








C








D





Item 1








195,000








212,000








201,000








182,000





Item 2








45,000








36,000








35,000








42,000

A, B, C, and D are heirs to two items. Each is entitled to an equal share of the inheritance.?
Your table suffered a bit in layout, but assuming I've interpeted it correctly, it looks like B was the successful bidder for item 1 with 212,000 and A for item 2 with 45,000. This means there is a total of 256,000 to distribute equally or 64,000 apiece. Therefore, A would gain item 2 plus an additional 19,000 (his share minus his bid of 45,000).
Reply:B receives Item 1. A receives Item 2.





A fair share to A is (in thousands) (195+45) / 4 = 60. Having item 2 worth 45, we give 15 to A.





A fair share to B is (212+36) / 4 = 62. Having item 1 worth 212, we take away 212-62 = 150 from B.





A fair share to C is (201+35) / 4 = 59. With no items, we give 59 to C.





A fair share to D is (182+42) / 4 = 56. With no items, we give 56 to D.





So in the "pot," B (sorry for typo) put in 150, A took out 15, C took out 59, and D took out 56. There is 150 - 15 - 59 - 56 = 20 left in the pot. We divide this evenly among the 4 players, giving A in particular 5 more.





Thus at the end A will have





Item 2 and 15+5 = 20 thousand dollars.





Hope this helps.

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