Exam 34:Welfare-Part B

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Suppose that Paul and David have utility functions U = 5AP+ OP and U = AD + 3OD,respectively,where AP and OP are Paul's consumptions of apples and oranges and AD and OD are David's consumptions of apples and oranges.The total supply of apples and oranges to be divided between them is 16 apples and 14 oranges.The "fair" allocations consist of all allocations satisfying

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A Borda count is used to decide an election between three candidates,x,y,and z,where a score of 1 is awarded to a first choice,2 to a second choice,and 3 to a third choice.There are 25 voters.3 voters rank the candidates x first,y second,and z third;10 voters rank the candidates x first,z second,and y third;6 rank the candidates z first,y second,and x third;and 6 voters rank the candidates y first,z second,and x third.Which candidate wins?

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A parent has two children living in cities with different costs of living.The cost of living in city B is 2 times the cost of living in city A.The child in city A has an income of $5,000 and the child in city B has an income of $10,000.The parent wants to give a total of $4,000 to her two children.Her utility function is U(CA,CB)=CACB,where CA and CB are the consumptions of the children living in cities A and B respectively.She will choose to give

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Suppose that Romeo the utility function U = S 6RS4J and Juliet has the utility function U =S4RS 6J,where SR is Romeo's spaghetti consumption and SJ is Juliet's.They have 70 units of spaghetti to divide between them.

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A Borda count is used to decide an election between three candidates,x,y,and z,where a score of 1 is awarded to a first choice,2 to a second choice,and 3 to a third choice.There are 20 voters.4 voters rank the candidates x first,y second,and z third;5 voters rank the candidates x first,z second,and y third;8 rank the candidates z first,y second,and x third;and 3 voters rank the candidates y first,z second,and x third.Which candidate wins?

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