Answer :
Sure, let's break down the process step by step for each question.
### 1. Total Labor Force
The total labor force is the sum of the employed and the unemployed people.
- Employed: 4505
- Unemployed: 472
To find the total labor force:
[tex]\[ \text{Total labor force} = \text{Employed} + \text{Unemployed} \][/tex]
[tex]\[ \text{Total labor force} = 4505 + 472 = 4977 \][/tex]
So, the total labor force is 4977 people.
### 2. Labor Force Participation Rate
The labor force participation rate is calculated by dividing the total labor force by the total population, then multiplying by 100 to get a percentage.
To find the total population:
[tex]\[ \text{Total population} = \text{Employed} + \text{Unemployed} + \text{Not in labor force} \][/tex]
[tex]\[ \text{Total population} = 4505 + 472 + 571 = 5548 \][/tex]
Now, to find the labor force participation rate:
[tex]\[ \text{Labor force participation rate} = \left( \frac{\text{Total labor force}}{\text{Total population}} \right) \times 100 \][/tex]
[tex]\[ \text{Labor force participation rate} = \left( \frac{4977}{5548} \right) \times 100 \approx 89.71\% \][/tex]
So, the labor force participation rate is approximately 89.71%.
### 3. Unemployment Rate
The unemployment rate is calculated by dividing the number of unemployed people by the total labor force, then multiplying by 100 to get a percentage.
To find the unemployment rate:
[tex]\[ \text{Unemployment rate} = \left( \frac{\text{Unemployed}}{\text{Total labor force}} \right) \times 100 \][/tex]
[tex]\[ \text{Unemployment rate} = \left( \frac{472}{4977} \right) \times 100 \approx 9.48\% \][/tex]
So, the unemployment rate is approximately 9.48%.
Therefore, the correct answers are:
- Total labor force: 4977
- Labor force participation rate: 89.71%
- Unemployment rate: 9.48%
### 1. Total Labor Force
The total labor force is the sum of the employed and the unemployed people.
- Employed: 4505
- Unemployed: 472
To find the total labor force:
[tex]\[ \text{Total labor force} = \text{Employed} + \text{Unemployed} \][/tex]
[tex]\[ \text{Total labor force} = 4505 + 472 = 4977 \][/tex]
So, the total labor force is 4977 people.
### 2. Labor Force Participation Rate
The labor force participation rate is calculated by dividing the total labor force by the total population, then multiplying by 100 to get a percentage.
To find the total population:
[tex]\[ \text{Total population} = \text{Employed} + \text{Unemployed} + \text{Not in labor force} \][/tex]
[tex]\[ \text{Total population} = 4505 + 472 + 571 = 5548 \][/tex]
Now, to find the labor force participation rate:
[tex]\[ \text{Labor force participation rate} = \left( \frac{\text{Total labor force}}{\text{Total population}} \right) \times 100 \][/tex]
[tex]\[ \text{Labor force participation rate} = \left( \frac{4977}{5548} \right) \times 100 \approx 89.71\% \][/tex]
So, the labor force participation rate is approximately 89.71%.
### 3. Unemployment Rate
The unemployment rate is calculated by dividing the number of unemployed people by the total labor force, then multiplying by 100 to get a percentage.
To find the unemployment rate:
[tex]\[ \text{Unemployment rate} = \left( \frac{\text{Unemployed}}{\text{Total labor force}} \right) \times 100 \][/tex]
[tex]\[ \text{Unemployment rate} = \left( \frac{472}{4977} \right) \times 100 \approx 9.48\% \][/tex]
So, the unemployment rate is approximately 9.48%.
Therefore, the correct answers are:
- Total labor force: 4977
- Labor force participation rate: 89.71%
- Unemployment rate: 9.48%
