Answer :
To determine which payment option is better, we need to compare the weekly earnings of a salaried employee with the weekly earnings of an hourly employee based on the given working hours.
### Step-by-Step Solution:
1. Total Hours Worked Per Week:
We begin by summing the hours worked each day.
[tex]\[ \text{Total Hours} = 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 \text{ hours} \][/tex]
2. Split Hours into Regular and Overtime:
- Regular hours are capped at 40 hours per week.
- Overtime hours are any hours worked beyond 40 hours.
[tex]\[ \text{Regular Hours} = \min(44, 40) = 40 \text{ hours} \][/tex]
[tex]\[ \text{Overtime Hours} = \max(44 - 40, 0) = 4 \text{ hours} \][/tex]
3. Hourly Employee Weekly Pay:
- Regular pay is calculated at \[tex]$25 per hour. - Overtime pay is calculated at \$[/tex]37.50 per hour.
[tex]\[ \text{Regular Pay} = 40 \times \$25 = \$1000 \][/tex]
[tex]\[ \text{Overtime Pay} = 4 \times \$37.50 = \$150 \][/tex]
[tex]\[ \text{Total Weekly Pay for Hourly Employee} = \$1000 + \$150 = \$1150 \][/tex]
4. Salaried Employee Weekly Pay:
- The annual salary is \[tex]$67,000. - Weekly pay is calculated by dividing the annual salary by 52 weeks. \[ \text{Weekly Pay for Salaried Employee} = \frac{\$[/tex]67000}{52} \approx \[tex]$1288.46 \] 5. Comparison of Weekly Earnings: - Hourly employee weekly pay: \$[/tex]1150
- Salaried employee weekly pay: \[tex]$1288.46 Since $[/tex]\[tex]$1288.46$[/tex] (salaried) is greater than [tex]$\$[/tex]1150$ (hourly), salaried employees make more per week than hourly employees under the given conditions.
### Conclusion:
The best option for a new employee, based on the weekly earnings comparison, is:
c. Salaried pay. Salaried employees make more per week than hourly employees.
### Step-by-Step Solution:
1. Total Hours Worked Per Week:
We begin by summing the hours worked each day.
[tex]\[ \text{Total Hours} = 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 \text{ hours} \][/tex]
2. Split Hours into Regular and Overtime:
- Regular hours are capped at 40 hours per week.
- Overtime hours are any hours worked beyond 40 hours.
[tex]\[ \text{Regular Hours} = \min(44, 40) = 40 \text{ hours} \][/tex]
[tex]\[ \text{Overtime Hours} = \max(44 - 40, 0) = 4 \text{ hours} \][/tex]
3. Hourly Employee Weekly Pay:
- Regular pay is calculated at \[tex]$25 per hour. - Overtime pay is calculated at \$[/tex]37.50 per hour.
[tex]\[ \text{Regular Pay} = 40 \times \$25 = \$1000 \][/tex]
[tex]\[ \text{Overtime Pay} = 4 \times \$37.50 = \$150 \][/tex]
[tex]\[ \text{Total Weekly Pay for Hourly Employee} = \$1000 + \$150 = \$1150 \][/tex]
4. Salaried Employee Weekly Pay:
- The annual salary is \[tex]$67,000. - Weekly pay is calculated by dividing the annual salary by 52 weeks. \[ \text{Weekly Pay for Salaried Employee} = \frac{\$[/tex]67000}{52} \approx \[tex]$1288.46 \] 5. Comparison of Weekly Earnings: - Hourly employee weekly pay: \$[/tex]1150
- Salaried employee weekly pay: \[tex]$1288.46 Since $[/tex]\[tex]$1288.46$[/tex] (salaried) is greater than [tex]$\$[/tex]1150$ (hourly), salaried employees make more per week than hourly employees under the given conditions.
### Conclusion:
The best option for a new employee, based on the weekly earnings comparison, is:
c. Salaried pay. Salaried employees make more per week than hourly employees.
