(a) Consider an agent whose preferences over any couple (1, 2), where x₁ € R+ and 2 € R+, e.g., apples and oranges, is such that she prefers the bundle that is closest to having the same number of apples and oranges. Write a utility function u: R2 → R+ which represent these preferences.

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Chapter1: Making Economics Decisions
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2. Answer all parts (a) (c) of this question.
(a)
Consider an agent whose preferences over any couple (x1, x2), where 2₁ ER+
and x2 € R+, e.g., apples and oranges, is such that she prefers the bundle that is closest to
having the same number of apples and oranges. Write a utility function u: R² → R+ which
represent these preferences.
A politician remarks "Our recent increases in the wage rates of teachers has been a total suc-
cess! The shortage of teachers has been reduced drastically. Another, similar wage increase
should eliminate this shortage entirely"
(b)
Explain and illustrate in a diagram what is meant by "income effects" and
"substitution effects" of a wage rate change.
(c)
Explain and illustrate how you would model the labour supply decision of a
potential teacher. Do you agree that the wage increase will increase the labour supply in this
case? Carefully outline the assumptions underlying your argument.
Transcribed Image Text:2. Answer all parts (a) (c) of this question. (a) Consider an agent whose preferences over any couple (x1, x2), where 2₁ ER+ and x2 € R+, e.g., apples and oranges, is such that she prefers the bundle that is closest to having the same number of apples and oranges. Write a utility function u: R² → R+ which represent these preferences. A politician remarks "Our recent increases in the wage rates of teachers has been a total suc- cess! The shortage of teachers has been reduced drastically. Another, similar wage increase should eliminate this shortage entirely" (b) Explain and illustrate in a diagram what is meant by "income effects" and "substitution effects" of a wage rate change. (c) Explain and illustrate how you would model the labour supply decision of a potential teacher. Do you agree that the wage increase will increase the labour supply in this case? Carefully outline the assumptions underlying your argument.
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