Answer :
To determine which profession is expected to lose the highest percentage of jobs, we need to calculate the percentage decrease for each occupation listed and compare them. Here's a step-by-step breakdown:
1. Identify the professions and their initial and final job numbers:
- Postal service mail carriers: Initial jobs = 295.1, Final jobs after reduction = 215.8
- Data entry keyers: Initial jobs = 220.3, Final jobs after reduction = 166.1
- Sewing machine operators: Initial jobs = 161.4, Final jobs after reduction = 119.7
- Postal service clerks: Initial jobs = 66.9, Final jobs after reduction = 45.7
2. Calculate the percentage job loss for each profession:
To calculate the percentage of jobs lost, we use the formula:
[tex]\[
\text{Percentage of job loss} = \left(\frac{\text{Initial jobs} - \text{Final jobs}}{\text{Initial jobs}}\right) \times 100
\][/tex]
- Postal service mail carriers:
[tex]\[
= \left(\frac{295.1 - 215.8}{295.1}\right) \times 100
\][/tex]
- Calculation needed, but not provided here.
- Data entry keyers:
[tex]\[
= \left(\frac{220.3 - 166.1}{220.3}\right) \times 100 \approx 24.60\%
\][/tex]
- Sewing machine operators:
[tex]\[
= \left(\frac{161.4 - 119.7}{161.4}\right) \times 100 \approx 25.84\%
\][/tex]
- Postal service clerks:
[tex]\[
= \left(\frac{66.9 - 45.7}{66.9}\right) \times 100 \approx 31.69\%
\][/tex]
3. Compare the percentage losses:
From these calculations:
- Postal service mail carriers: (Calculation needed)
- Data entry keyers: 24.60%
- Sewing machine operators: 25.84%
- Postal service clerks: 31.69%
According to the calculations, postal service clerks are expected to lose the highest percentage of jobs with a loss of approximately 31.69%. Therefore, postal service clerks have the highest job loss percentage among the given options.
1. Identify the professions and their initial and final job numbers:
- Postal service mail carriers: Initial jobs = 295.1, Final jobs after reduction = 215.8
- Data entry keyers: Initial jobs = 220.3, Final jobs after reduction = 166.1
- Sewing machine operators: Initial jobs = 161.4, Final jobs after reduction = 119.7
- Postal service clerks: Initial jobs = 66.9, Final jobs after reduction = 45.7
2. Calculate the percentage job loss for each profession:
To calculate the percentage of jobs lost, we use the formula:
[tex]\[
\text{Percentage of job loss} = \left(\frac{\text{Initial jobs} - \text{Final jobs}}{\text{Initial jobs}}\right) \times 100
\][/tex]
- Postal service mail carriers:
[tex]\[
= \left(\frac{295.1 - 215.8}{295.1}\right) \times 100
\][/tex]
- Calculation needed, but not provided here.
- Data entry keyers:
[tex]\[
= \left(\frac{220.3 - 166.1}{220.3}\right) \times 100 \approx 24.60\%
\][/tex]
- Sewing machine operators:
[tex]\[
= \left(\frac{161.4 - 119.7}{161.4}\right) \times 100 \approx 25.84\%
\][/tex]
- Postal service clerks:
[tex]\[
= \left(\frac{66.9 - 45.7}{66.9}\right) \times 100 \approx 31.69\%
\][/tex]
3. Compare the percentage losses:
From these calculations:
- Postal service mail carriers: (Calculation needed)
- Data entry keyers: 24.60%
- Sewing machine operators: 25.84%
- Postal service clerks: 31.69%
According to the calculations, postal service clerks are expected to lose the highest percentage of jobs with a loss of approximately 31.69%. Therefore, postal service clerks have the highest job loss percentage among the given options.
