Suppose That Paul and David Have Utility Functions U

question 19

Multiple Choice

Suppose that Paul and David 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 12 apples and 20 oranges.The "fair" allocations consist of all allocations satisfying

• A)A_D= A_P and O_D = O_P.
• B)A_D + O_D is at least 16 and A_S + O_S is at least 16.
• C)10A_P + 2O_P is at least 80 and 2A_D + 6O_D is at least 72.
• D)5A_P+ O_P is at least 80 and 2A_D + 3O_D is at least 72.
• 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:

Population

The total number of people inhabiting a particular area, region, or country.

Apples

A fruit produced by an apple tree, broadly consumed worldwide and available in many varieties.

Pomegranates

Fruits with a tough outer skin and a multitude of edible seeds inside, known for their sweet and tart flavor and health benefits.

Aging

The process of becoming older or more mature, often referring to the biological and social changes that occur over time in living organisms.