Suppose That Paul and David from Problem 7 Have Utility

question 12

Multiple Choice

Suppose that Paul and David from Problem 7 have utility functions U = 5A_P + O_P and U = A_D + 3O_D, respectively, where A_P and O_P are Paul's consumptions of apples and oranges and A_D and O_D 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

• A) 5A_P + O_P is at least 94 and 2A_D + 3O_D is at least 58.
• B) A_D = A_P and O_D = O_P.
• C) A_D + O_D is at least 15 and A_S + O_S is at least 15.
• D) 10A_P + 2O_P is at least 94 and 2A_D + 6O_D is at least 58.
• E) 5A_P + O_P is at least A_D + 3O_D and A_D + 3O_D is at least 5A_P + O_P.

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Definitions:

Land Ownership

The legal or rightful possession of land, which includes the rights to use, control, and transfer the land.

Political Rights

The rights of individuals to participate in the political life of their community or nation, including the right to vote, run for office, and engage in public debate.

Slaves

People who are legally owned by others and are forced to work for them without free will, a condition regarded as property.

English America

The early English colonies and possessions in what is now the United States and parts of Canada.