Question
In 2009, based on concepts similar to those used to estimate U.S. employment figures, the Italian adult non- institutionalized population was 51.070 million, the labor force was 24.710 million, and the number of people employed was 22.765 million. According to these numbers, the Italian labor-force participation rate and unemployment rate were about
a.
48.4% and 3.8%.
b.
44.6% and 3.8%
c.
44.6% and 7.9%
d.
48.4% and 7.9%.
a.
48.4% and 3.8%.
b.
44.6% and 3.8%
c.
44.6% and 7.9%
d.
48.4% and 7.9%.
Answers
GPT-4o mini
To calculate the labor-force participation rate and the unemployment rate, we can use the following formulas:
1. **Labor-Force Participation Rate (LFPR)**:
\[
\text{LFPR} = \left( \frac{\text{Labor Force}}{\text{Adult Non-Institutionalized Population}} \right) \times 100
\]
2. **Unemployment Rate (UR)**:
\[
\text{UR} = \left( \frac{\text{Labor Force} - \text{Employed}}{\text{Labor Force}} \right) \times 100
\]
Now let's plug in the values:
- Adult non-institutionalized population = 51.070 million
- Labor force = 24.710 million
- Employed = 22.765 million
### Step 1: Calculate Labor-Force Participation Rate
\[
\text{LFPR} = \left( \frac{24.710}{51.070} \right) \times 100 \approx 48.4\%
\]
### Step 2: Calculate Unemployment Rate
\[
\text{Unemployed} = \text{Labor Force} - \text{Employed} = 24.710 - 22.765 = 1.945 \text{ million}
\]
\[
\text{UR} = \left( \frac{1.945}{24.710} \right) \times 100 \approx 7.9\%
\]
### Conclusion:
- Labor-force participation rate ≈ 48.4%
- Unemployment rate ≈ 7.9%
Thus, the correct answer is:
**d. 48.4% and 7.9%.**
1. **Labor-Force Participation Rate (LFPR)**:
\[
\text{LFPR} = \left( \frac{\text{Labor Force}}{\text{Adult Non-Institutionalized Population}} \right) \times 100
\]
2. **Unemployment Rate (UR)**:
\[
\text{UR} = \left( \frac{\text{Labor Force} - \text{Employed}}{\text{Labor Force}} \right) \times 100
\]
Now let's plug in the values:
- Adult non-institutionalized population = 51.070 million
- Labor force = 24.710 million
- Employed = 22.765 million
### Step 1: Calculate Labor-Force Participation Rate
\[
\text{LFPR} = \left( \frac{24.710}{51.070} \right) \times 100 \approx 48.4\%
\]
### Step 2: Calculate Unemployment Rate
\[
\text{Unemployed} = \text{Labor Force} - \text{Employed} = 24.710 - 22.765 = 1.945 \text{ million}
\]
\[
\text{UR} = \left( \frac{1.945}{24.710} \right) \times 100 \approx 7.9\%
\]
### Conclusion:
- Labor-force participation rate ≈ 48.4%
- Unemployment rate ≈ 7.9%
Thus, the correct answer is:
**d. 48.4% and 7.9%.**
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