If the number of unemployed equals 10,000, the number of employed equals 70,000, and the number not in the labor force is 20,000, the labor-force participation rate is O 90% O 80% O 70% 60%

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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### Understanding Labor-Force Participation Rate

If the number of unemployed equals 10,000, the number of employed equals 70,000, and the number not in the labor force is 20,000, determine the labor-force participation rate from the options below:

- 90%
- 80%
- 70%
- 60%

**Explanation:**
The labor-force participation rate is calculated using the formula:

\[ \text{Labor-force participation rate} = \left( \frac{\text{Labor force}}{\text{Working-age population}} \right) \times 100 \]

Where:
- **Labor force** = Number of employed + Number of unemployed
- **Working-age population** = Labor force + Number not in labor force

Let's calculate:
1. **Labor Force** = 70,000 (employed) + 10,000 (unemployed) = 80,000
2. **Working-age Population** = 80,000 (labor force) + 20,000 (not in labor force) = 100,000

Using the formula:

\[ \text{Labor-force participation rate} = \left( \frac{80,000}{100,000} \right) \times 100 = 80\% \]

The correct answer is **80%**.
Transcribed Image Text:### Understanding Labor-Force Participation Rate If the number of unemployed equals 10,000, the number of employed equals 70,000, and the number not in the labor force is 20,000, determine the labor-force participation rate from the options below: - 90% - 80% - 70% - 60% **Explanation:** The labor-force participation rate is calculated using the formula: \[ \text{Labor-force participation rate} = \left( \frac{\text{Labor force}}{\text{Working-age population}} \right) \times 100 \] Where: - **Labor force** = Number of employed + Number of unemployed - **Working-age population** = Labor force + Number not in labor force Let's calculate: 1. **Labor Force** = 70,000 (employed) + 10,000 (unemployed) = 80,000 2. **Working-age Population** = 80,000 (labor force) + 20,000 (not in labor force) = 100,000 Using the formula: \[ \text{Labor-force participation rate} = \left( \frac{80,000}{100,000} \right) \times 100 = 80\% \] The correct answer is **80%**.
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