MULTIPLE CHOICE Choose the one alternative that best completes the statement or answes the question GOOD LUCK Four heirs (A, B, C, and D) must divide fairly an estate consisting of three items-a house, a cabin and a boat-using the method of sealed bids. The players' bids (in dollars) are: A House Cabin D 180,000 200,000 60,000 190,000 40.000 185,000 50,000 55.000 Boat 16.000 12,000 18,000 10,000 1) After the initial allocation to each plaver is made, there is a surplus of A) $6000. 1) B) $12,000 9 $24,000. D) 50 2) The original fair share of player B is worth A) $62,500. 2) B) $62,000. D) $64,000 9 565,500. 3) In the initial allocation, player C A) gets $62,000 cash B) gets the cabin and an additional $22,000 from the estate 9 gets the boat and an additional $44.000 from the estate. D) gets the house and pays the estate $128,000 4) In the initial allocation, player B A) gets the boat and an additional $53.500 from the estate. B) gets $65,500 cash ) gets the house and pays the estate $134,.500 D) gets the cabin and an additional $15,500 from the estate. 5) 5) The original fair share of player C is worth A) $62,000. D) $64,000 9 $65,500. B) $18,000. going to divide a cake fairly using the lone divider method. The divider Three players (one divider and two choosers) are cuts the cake into three slices (s1, $2, and s3). 6) Suppose the choosers value the slices as follows: $2 53 51 Chooser 1 30% 40% 30 % Chooser 2 32% 32 % 36 % Which of the following is a fair division of the cake? A) Chooser 1 gets s2; Chooser 2 gets s3; Divider gets s1. B) Chooser 1 gets sa; Chooser 2 gets s2; Divider gets s1. 9 Chooser 1 gets s1; Chooser 2 gets s2; Divider gets s3- D) Chooser 1 gets s2; Chooser 2 gets s1; Divider gets s3. 7) If the choosers declarations are Chooser 1: Is2.s3l and Chooser 2: (s-sgl. which of the folllowingg is not a fair division of the cake? A) Chooser 1 gets s2; Chooser 2 gets s3: Divider gets s1 B) Chooser 1 gets sa: Chooser 2 gets s1; Divider gets s2- 9 Chooser 1 gets s1; Chooser 2 gets s3: Divider gets s2 D) Chooser 1 gets so; Chooser 2 gets sy;Divider gets sg 7) 8) If the choosers' declarations are Chooser 1: (s2) and Chooser 2: Isal, which of the following is a fair division of the cake? A) Chooser 1 gets sa; Chooser 2 gets s2 ; Divider gets s1- B) Chooser 1 gets s2; Chooser 2 gets sa: Divider gets 51- C) Chooser 1 gets s1; Chooser 2 gets s2; Divider gets 53 D) Chooser 1 gets s2; Chooser 2 gets s1; Divider gets $3- Solve the problem. 9) An election is held among three candidates (A, B, and C) using the Borda count method. There are 20 voters, If candidate A received 37 points and candidate B received 39 points, how many points did candidate C receive? 9) D) none of these C) 38 A) 44 B) 21 10) 10) What is the maximum number of Borda count points any candidate can get? A) D) B) A small country consists of four states. The population of State A is 44,800, the population of State B is 52,200, the population of State C is 49,200, and the population of State D is 53,800. The total number of seats in the legislature is 100 11) 11) Under Hamilton's method, the apportionments to each state are A) State A: 22 seats; State B: 26 seats; State C: 25 seats; State D: 27 seats B) State A: 22 seats; State B: 26 seats; State C: 24 seats State D: 26 seats. ) State A: 22 seats: State B: 26 seats: State C: 24 seats State D: 28 seats. D) State A: 23 seats; State B: 26 seats; State C: 24 seats; State D: 27 seats 12) 12) The standard quota for State B is B) 26.1. D) 26.9. 9 24.6. A) 25.7 13) The standard quota for State C is B) 25.7 13) 9 26.1. D) 24.6. A) 26.9