Consider an economy with two sectors: agricultural and services. Demand for labor in agricultural and services are described by these equations: La = 200 -6W, Ls = 1000 – 4W, %3D Where L is labor (in number of workers), W is the wage (in dollars), and the subscripts denote the sectors. The economy has 1000 workers who are willing and able to work in either sector. a. Suppose workers are free to move between sectors, and wages adjust to equilibrate labor supply and labor demand. Calculate the wage and employment in each sector. (NB: Write out only your final answer) b. Suppose a union establishes itself in the agricultural sector and pushes the agricultural wage to $25. Calculate employment in agricultural sector. (NB: Write out only your final answer) c. In the aftermath of the unionization of the agricultural sector, all workers who cannot get the highly paid union jobs move to the service sector. Calculate the wage and employment in services. (NB: Write out only your final answer) d. Now suppose that workers have a reservation wage of $15 -that is, rather than take a job at a wage below $15, they would rather wait for a $25 union job to open up. Calculate the wage and employment in each sector. What is the economy's unemployment rate? (NB: Write out only your final answer)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Consider an economy with two sectors: agricultural and services. Demand for labor in agricultural
and services are described by these equations:
La = 200 -6W,
Ls = 1000 – 4W,
%3D
Where L is labor (in number of workers), W is the wage (in dollars), and the subscripts denote the
sectors. The economy has 1000 workers who are willing and able to work in either sector.
a. Suppose workers are free to move between sectors, and wages adjust to equilibrate labor supply
and labor demand. Calculate the wage and employment in each sector. (NB: Write out only your
final answer)
b. Suppose a union establishes itself in the agricultural sector and pushes the agricultural wage to
$25. Calculate employment in agricultural sector. (NB: Write out only your final answer)
c. In the aftermath of the unionization of the agricultural sector, all workers who cannot get the
highly paid union jobs move to the service sector. Calculate the wage and employment in services.
(NB: Write out only your final answer)
d. Now suppose that workers have a reservation wage of $15 -that is, rather than take a job at a
wage below $15, they would rather wait for a $25 union job to open up. Calculate the wage and
employment in each sector. What is the economy's unemployment rate? (NB: Write out only your
final answer)
Transcribed Image Text:Consider an economy with two sectors: agricultural and services. Demand for labor in agricultural and services are described by these equations: La = 200 -6W, Ls = 1000 – 4W, %3D Where L is labor (in number of workers), W is the wage (in dollars), and the subscripts denote the sectors. The economy has 1000 workers who are willing and able to work in either sector. a. Suppose workers are free to move between sectors, and wages adjust to equilibrate labor supply and labor demand. Calculate the wage and employment in each sector. (NB: Write out only your final answer) b. Suppose a union establishes itself in the agricultural sector and pushes the agricultural wage to $25. Calculate employment in agricultural sector. (NB: Write out only your final answer) c. In the aftermath of the unionization of the agricultural sector, all workers who cannot get the highly paid union jobs move to the service sector. Calculate the wage and employment in services. (NB: Write out only your final answer) d. Now suppose that workers have a reservation wage of $15 -that is, rather than take a job at a wage below $15, they would rather wait for a $25 union job to open up. Calculate the wage and employment in each sector. What is the economy's unemployment rate? (NB: Write out only your final answer)
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