In the country of​ Economica, the total labor force consists of workers. 400 of these workers are​ unemployed, and thus the current unemployment rate is 4.0%. This​ year, 200 workers will lose their​ jobs, 170 workers will return to the labor force after an​ absence, 100 workers will voluntarily leave their​ jobs, and 500 new workers will enter the labor force. At the same​ time, 933 workers will find​ jobs, and 300

workers will retire or leave the labor force for other reasons.
​a. At the end of the​ year, the labor force will consist of ----
workers,

3 answers

assuming no other changes occur.

Solution:

To calculate the size of the labor force at the end of the year, we need to add up all the changes that will occur during the year:

Starting labor force = Total workers = 10000

Workers who will lose their jobs = -200

Workers who will return to the labor force = +170

Workers who will voluntarily leave their jobs = -100

New workers who will enter the labor force = +500

Workers who will find jobs = +933

Workers who will retire or leave the labor force = -300

Ending labor force = Starting labor force + (changes)
= 10000 - 200 + 170 - 100 + 500 + 933 - 300
= 11003

Therefore, at the end of the year, the labor force in Economica will consist of 11,003 workers.
b. The unemployment rate will be---​%.
​(Round your responses to one decimal​ place.)
Solution:

To calculate the unemployment rate at the end of the year, we need to calculate the number of unemployed workers and then divide by the total labor force:

Unemployed workers at the beginning of the year = 400

New workers who will enter the labor force = +500

Workers who will find jobs = -933

Unemployed workers at the end of the year = Unemployed workers at the beginning of the year + (changes)
= 400 + 500 - 933
= -33

Note that the result is negative. This means that there are fewer unemployed workers at the end of the year than at the beginning, which is a good thing.

However, we need to adjust for the fact that the unemployment rate cannot be negative. To do this, we assume that the number of unemployed workers at the end of the year is zero. This means that all the new workers who entered the labor force found jobs, and all the workers who lost jobs or voluntarily left the labor force were not seeking employment.

Adjusted ending labor force = Ending labor force - number of unemployed workers
= 11003 - 33
= 10970

Unemployment rate = number of unemployed workers / adjusted ending labor force
= 0 / 10970
= 0% (rounded to one decimal place)

Therefore, the unemployment rate at the end of the year in Economica will be 0%.
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