7. Consider a competitive labor market where the market demand and the market supply are given initially by QD = 1000 – 50P and Q = 50P, respectively. The quantity of labor is measured in number of people (assume that people are perfectly divisible) and prices are measured in RMB. (a) Suppose there is a recession and the demand for labor is reduced by 200 workers at every price level. Find the number of people who are unem- ployed as a result. (b) Suppose the government wants to help the newly unemployed by paying them 50% of the pre-recession equilibrium wage. What would be the total cost of this program to the government? How does the program affect the post-recession aggregate surplus? Is there a deadweight loss associated with this program? (c) Suppose the government wants to reduce unemployment, so it is consid- ering using the money that would have been spent on the unemployment benefit program on a wage subsidy program instead. In particular, the government will reimburse the employers t% of the wages paid. What is the value of t that will make the wage subsidy program have the same cost as the unemployment benefit program? How many additional workers will be hired as a result?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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7. Consider a competitive labor market where the market demand and the market
supply are given initially by
QD = 1000 – 50P and Q$ = 50P,
respectively. The quantity of labor is measured in number of people (assume
that people are perfectly divisible) and prices are measured in RMB.
(a) Suppose there is a recession and the demand for labor is reduced by 200
workers at every price level. Find the number of people who are unem-
ployed as a result.
(b) Suppose the government wants to help the newly unemployed by paying
them 50% of the pre-recession equilibrium wage. What would be the total
cost of this program to the government? How does the program affect the
post-recession aggregate surplus? Is there a deadweight loss associated
with this program?
(c) Suppose the government wants to reduce unemployment, so it is consid-
ering using the money that would have been spent on the unemployment
benefit program on a wage subsidy program instead. In particular, the
government will reimburse the employers t% of the wages paid. What is
the value of t that will make the wage subsidy program have the same cost
as the unemployment benefit program? How many additional workers will
be hired as a result?
Transcribed Image Text:7. Consider a competitive labor market where the market demand and the market supply are given initially by QD = 1000 – 50P and Q$ = 50P, respectively. The quantity of labor is measured in number of people (assume that people are perfectly divisible) and prices are measured in RMB. (a) Suppose there is a recession and the demand for labor is reduced by 200 workers at every price level. Find the number of people who are unem- ployed as a result. (b) Suppose the government wants to help the newly unemployed by paying them 50% of the pre-recession equilibrium wage. What would be the total cost of this program to the government? How does the program affect the post-recession aggregate surplus? Is there a deadweight loss associated with this program? (c) Suppose the government wants to reduce unemployment, so it is consid- ering using the money that would have been spent on the unemployment benefit program on a wage subsidy program instead. In particular, the government will reimburse the employers t% of the wages paid. What is the value of t that will make the wage subsidy program have the same cost as the unemployment benefit program? How many additional workers will be hired as a result?
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