An economy with competitive markets has 2 kinds of jobs, Routine & Skilled. There are 2 types of workers, Qualified & Unqualified. 60% of workers are Qualified while 40% are unqualified. In a Routine job, both types of workers produce 10 widgets. In a Skilled job, Qualified workers produce 100 widgets each, while Unqualified workers produce 0. Labor markets are competitive, so each worker is paid their marginal product, i.e. how much they produce, in widgets. Everyone looks great in an interview, so companies must hire without knowing the worker's type and must pay the first period's wage without knowing their actual output. However, Qualified workers can signal their qualification by receiving an education. For a Qualified worker, the cost of getting educated to level n is 0.5n2. For an Unqualified worker, it is n2. These costs are also measured in widgets. What is the maximum level of education that Qualified workers will obtain, in a separating

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter16: Labor Markets
Section: Chapter Questions
Problem 16.1P
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An economy with competitive markets has 2 kinds of jobs, Routine & Skilled. There are 2 types of
workers, Qualified & Unqualified. 60% of workers are Qualified while 40% are unqualified.
In a Routine job, both types of workers produce 10 widgets. In a Skilled job, Qualified workers
produce 100 widgets each, while Unqualified workers produce 0.
Labor markets are competitive, so each worker is paid their marginal product, i.e. how much they
produce, in widgets.
Everyone looks great in an interview, so companies must hire without knowing the worker's type
and must pay the first period's wage without knowing their actual output. However, Qualified
workers can signal their qualification by receiving an education. For a Qualified worker, the cost of
getting educated to level n is 0.5n2. For an Unqualified worker, it is n?. These costs are also measured
in widgets.
What is the maximum level of education that Qualified workers will obtain, in a separating
equilibrium?
O 13.5
O 12
O 13
O 10
Transcribed Image Text:An economy with competitive markets has 2 kinds of jobs, Routine & Skilled. There are 2 types of workers, Qualified & Unqualified. 60% of workers are Qualified while 40% are unqualified. In a Routine job, both types of workers produce 10 widgets. In a Skilled job, Qualified workers produce 100 widgets each, while Unqualified workers produce 0. Labor markets are competitive, so each worker is paid their marginal product, i.e. how much they produce, in widgets. Everyone looks great in an interview, so companies must hire without knowing the worker's type and must pay the first period's wage without knowing their actual output. However, Qualified workers can signal their qualification by receiving an education. For a Qualified worker, the cost of getting educated to level n is 0.5n2. For an Unqualified worker, it is n?. These costs are also measured in widgets. What is the maximum level of education that Qualified workers will obtain, in a separating equilibrium? O 13.5 O 12 O 13 O 10
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