To solve the given questions, we need to use the provided labor market data for October and November 2021 on Sandy Island.
a. The unemployment rate:
The unemployment rate is calculated using the formula:
\[
\text{Unemployment Rate} = \left( \frac{\text{Number of Unemployed}}{\text{Labor Force}} \right) \times 100
\]
First, calculate the labor force:
\[
\text{Labor Force} = \text{Employed} + \text{Unemployed} = 18,000 + 3,000 = 21,000
\]
Now, calculate the unemployment rate:
\[
\text{Unemployment Rate} = \left( \frac{3,000}{21,000} \right) \times 100 = 14.3\%
\]
b. The employment-to-population ratio:
The employment-to-population ratio is calculated using the formula:
\[
\text{Employment-to-Population Ratio} = \left( \frac{\text{Number of Employed}}{\text{Working Age Population}} \right) \times 100
\]
The working-age population is the sum of the labor force and those not in the labor force:
\[
\text{Working Age Population} = \text{Labor Force} + \text{Not in Labor Force} = 21,000 + 3,000 = 24,000
\]
Now, calculate the employment-to-population ratio:
\[
\text{Employment-to-Population Ratio} = \left( \frac{18,000}{24,000} \right) \times 100 = 75.0\%
\]
c. The number of people unemployed:
Start with the number of unemployed in October and adjust for changes in November:
- Unemployed in October: 3,000
- Unemployed who were hired: -150
- Unlucky job searchers left the labor force: -40
- Entered the labor force to look for work: +30
Calculate the number of unemployed at the end of November:
\[
\text{Unemployed in November} = 3,000 - 150 - 40 + 30 = 2,840
\]
d. The number of people employed:
Start with the number of employed in October and adjust for changes in November:
- Employed in October: 18,000
- Lost jobs and didn't look for new jobs: -120
- Quit jobs and retired: -10
- Unemployed who were hired: +150
Calculate the number of employed at the end of November:
\[
\text{Employed in November} = 18,000 - 120 - 10 + 150 = 18,020
\]
e. The unemployment rate:
First, calculate the labor force at the end of November:
- Labor force in October: 21,000
- Unlucky job searchers left the labor force: -40
- Entered the labor force to look for work: +30
\[
\text{Labor Force in November} = 21,000 - 40 + 30 = 20,990
\]
Now, calculate the unemployment rate for November:
\[
\text{Unemployment Rate in November} = \left( \frac{2,840}{20,990} \right) \times 100 \approx 13.5\%
\]
- October 2021:
- Unemployment Rate: 14.3%
- Employment-to-Population Ratio: 75.0%
- November 2021:
- Number of Unemployed: 2,840
- Number of Employed: 18,020
- Unemployment Rate: 13.5%