Answer :
To determine which payment option to recommend to a new employee, we need to compare the weekly earnings of salaried employees and hourly employees based on the data provided. Let's calculate step by step:
### Step 1: Calculate Total Hours Worked in the Week
First, find the total number of hours worked in the week by adding the daily hours:
[tex]\[ 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 \text{ hours} \][/tex]
### Step 2: Determine Regular and Overtime Hours
- Regular hours are up to 40 hours per week.
[tex]\[ \text{Regular hours} = \min(40, 44) = 40 \text{ hours} \][/tex]
- Overtime hours are any hours worked over 40 hours per week.
[tex]\[ \text{Overtime hours} = \max(0, 44 - 40) = 4 \text{ hours} \][/tex]
### Step 3: Calculate Hourly Employee's Weekly Pay
The hourly rate is \[tex]$25/hour, and the overtime rate is \$[/tex]37.50/hour. Calculate the weekly pay by adding the pay for regular and overtime hours:
[tex]\[ \text{Hourly weekly pay} = (\text{Regular hours} \times \text{Hourly rate}) + (\text{Overtime hours} \times \text{Overtime rate}) \][/tex]
[tex]\[ \text{Hourly weekly pay} = (40 \times 25) + (4 \times 37.5) \][/tex]
[tex]\[ \text{Hourly weekly pay} = 1000 + 150 = 1150 \][/tex]
### Step 4: Calculate Salaried Employee's Weekly Pay
A salaried employee makes \[tex]$67,000 annually. Divide this by 52 weeks to find the weekly salary: \[ \text{Salaried weekly pay} = \frac{67,000}{52} \approx 1288.46 \] ### Step 5: Compare the Weekly Pays Now, let's compare the calculated weekly pay: - Hourly weekly pay: \$[/tex]1150.00
- Salaried weekly pay: \[tex]$1288.46 Given that the salaried weekly pay (\$[/tex]1288.46) is more than the hourly weekly pay (\$1150.00), the best recommendation is:
c. Salaried pay. Salaried employees make more per week than hourly employees.
### Step 1: Calculate Total Hours Worked in the Week
First, find the total number of hours worked in the week by adding the daily hours:
[tex]\[ 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 \text{ hours} \][/tex]
### Step 2: Determine Regular and Overtime Hours
- Regular hours are up to 40 hours per week.
[tex]\[ \text{Regular hours} = \min(40, 44) = 40 \text{ hours} \][/tex]
- Overtime hours are any hours worked over 40 hours per week.
[tex]\[ \text{Overtime hours} = \max(0, 44 - 40) = 4 \text{ hours} \][/tex]
### Step 3: Calculate Hourly Employee's Weekly Pay
The hourly rate is \[tex]$25/hour, and the overtime rate is \$[/tex]37.50/hour. Calculate the weekly pay by adding the pay for regular and overtime hours:
[tex]\[ \text{Hourly weekly pay} = (\text{Regular hours} \times \text{Hourly rate}) + (\text{Overtime hours} \times \text{Overtime rate}) \][/tex]
[tex]\[ \text{Hourly weekly pay} = (40 \times 25) + (4 \times 37.5) \][/tex]
[tex]\[ \text{Hourly weekly pay} = 1000 + 150 = 1150 \][/tex]
### Step 4: Calculate Salaried Employee's Weekly Pay
A salaried employee makes \[tex]$67,000 annually. Divide this by 52 weeks to find the weekly salary: \[ \text{Salaried weekly pay} = \frac{67,000}{52} \approx 1288.46 \] ### Step 5: Compare the Weekly Pays Now, let's compare the calculated weekly pay: - Hourly weekly pay: \$[/tex]1150.00
- Salaried weekly pay: \[tex]$1288.46 Given that the salaried weekly pay (\$[/tex]1288.46) is more than the hourly weekly pay (\$1150.00), the best recommendation is:
c. Salaried pay. Salaried employees make more per week than hourly employees.
