Suppose That Paul and David Have Utility Functions U =

question 3

Multiple Choice

Suppose that Paul and David have utility functions U = 4A P + O P and U = A D + 5O 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 orange. The total supply of apples and oranges to be divided between them is 20 apples and 14 oranges. The "fair" allocations consist of all allocations satisfying the following conditions.

• A) 4A_P + O_P is at least 94 and 2A_D + 5O_D is at least 90.
• B) A_D + O_D is at least 17 and A_S + O_S is at least 17.
• C) A_D = A_P and O_D = O_P.
• D) 8A_P + 2O_P is at least 94 and 2A_D + 10O_D is at least 90.
• E) 4A_P + O_P is at least A_D + 5O_D and A_D + 5O_D is at least 4A_P + O_P.

---

Definitions:

Competence

The ability to do something successfully or efficiently, often measured against a standard.

Autonomy

The ability or right of individuals to make their own choices and decisions independently, free from external influence or coercion.

Peer Influence

The influence that the attitudes, values, and behaviors of peers exert on an individual's personal attitudes, values, and behaviors.

Role Confusion

A situation in which an individual lacks clarity about his or her role, often seen in adolescence as part of identity development according to Erikson's stages of psychosocial development.