Suppose there are 75 million people in the labor force. the labor force participation rate is 60% and the unemployment rate is 8%. instructions: enter whole numbers in each box. a. the number of people in the working-age population is . b. the number of people who are part of the working-age population but not part of the labor force is . c. the number of unemployed workers is . d. the number of employed workers is

a). The number of people in the working age population=125 million

b). The number of people who are part of the working-age population but not part of the labor force=50 million

c). The number of unemployed workers=6 million

d). The number of unemployed workers=69 million

Explanation:

a).

The labor force is the total number of people who are employed and also the unemployed who are looking for work.

The labor participation rate is a percentage expressed as;

Labor participation rate=(total number of employed+unemployed looking for work)/Total number in working age population

where;

total number of employed and unemployed looking for work=75 million

labor participation rate=60%

total number in working age population=p

replacing;

(60/100)=75 million/p

60 p=75 million×100

p=75 million×100/60

p=125 million

The number of people in the working age population=125 million

b). Working age population but not labor force=Total working age population-labor force

=(125-75)=50 million

The number of people who are part of the working-age population but not part of the labor force=50 million

c). Unemployment rate=(number of unemployed persons/labor force)×100

where;

number of unemployed persons=x

Unemployment rate=8%

labor force=75 million

replacing;

8/100=x/75 million

x=75 million×8/100=6 million

The number of unemployed workers=6 million

d). Labor force=number of employed workers+number of unemployed workers

where;

labor force=75 million

number of employed workers=y

number of unemployed workers=6 million

replacing;

75 million=y+6 million

y=(75-6) million

y=69 million

The number of unemployed workers=69 million

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