The table below shows the typical hours worked by employees at a company. A salaried employee makes [tex]$\$[/tex]67,000[tex]$ per year. Hourly employees get paid $[/tex]\[tex]$25$[/tex] per hour, but get [tex]$\$[/tex]37.50$ per hour for each hour over 40 hours.

\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
Sun. & Mon. & Tues. & Wed. & Thurs. & Fri. & Sat. \\
\hline
0 & 10 & 8 & 8 & 7 & 6.5 & 4.5 \\
\hline
\end{tabular}

Which of the payment options would you recommend to a new employee?

A. Either one. Hourly and salaried employees earn the same amount per week.
B. Hourly pay. Hourly employees make more per week than salaried employees.
C. Salaried pay. Salaried employees make more per week than hourly employees.
D. There is not enough information given to compare weekly earnings.



Answer :

To determine which payment option is more advantageous for a new employee, we need to compare the weekly earnings of a salaried employee with those of an hourly employee, factoring in both regular and overtime pay. Let's detail the solution step-by-step.

Step 1: Calculate the total hours worked in a week.
Given the hours per day:
- Sunday: 0 hours
- Monday: 10 hours
- Tuesday: 8 hours
- Wednesday: 8 hours
- Thursday: 7 hours
- Friday: 6.5 hours
- Saturday: 4.5 hours

Summing these gives:
[tex]\[ 0 + 10 + 8 + 8 + 7 + 6.5 + 4.5 = 44 \text{ hours} \][/tex]

Step 2: Determine regular and overtime hours.
- Regular hours per week are up to 40 hours.
- Overtime hours are any hours over 40.

From the total weekly hours of 44:
- Regular hours: 40 hours (maximum allowed for regular pay)
- Overtime hours: [tex]\( 44 - 40 = 4 \text{ hours} \)[/tex]

Step 3: Calculate the weekly salary for a salaried employee.
The annual salary is \[tex]$67,000. To find the weekly salary: \[ \text{Weekly salaried pay} = \frac{\$[/tex]67,000}{52} \approx \[tex]$1288.46 \] Step 4: Calculate the weekly earnings for an hourly employee. An hourly employee earns \$[/tex]25 per hour for regular hours and \[tex]$37.50 per hour for overtime hours. - Regular earnings: \( 40 \text{ hours} \times \$[/tex]25/\text{hour} = \[tex]$1000 \) - Overtime earnings: \( 4 \text{ hours} \times \$[/tex]37.50/\text{hour} = \[tex]$150 \) Total weekly earnings for an hourly employee: \[ \text{Weekly hourly pay} = \$[/tex]1000 + \[tex]$150 = \$[/tex]1150 \]

Step 5: Compare the weekly earnings.
- Weekly salaried pay: \[tex]$1288.46 - Weekly hourly pay: \$[/tex]1150

Since the weekly salaried pay (\[tex]$1288.46) is greater than the weekly hourly pay (\$[/tex]1150), the salaried pay would be more beneficial for the employee.

Conclusion:
The recommendation for a new employee would be:
c. Salaried pay. Salaried employees make more per week than hourly employees.

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