Let's analyze the problem step-by-step to determine which payment option to recommend to a new employee.
1. Calculate Total Hours Worked:
We are given the number of hours worked each day of the week:
[tex]\[
\text{Sun: } 0, \text{ Mon: } 8, \text{ Tues: } 8, \text{ Wed: } 9, \text{ Thurs: } 9.5, \text{ Fri: } 7.5, \text{ Sat: } 4
\][/tex]
Summing these hours, we get:
[tex]\[
0 + 8 + 8 + 9 + 9.5 + 7.5 + 4 = 46 \text{ hours}
\][/tex]
2. Calculate Standard Hours and Overtime Hours:
- Standard hours (up to 40 hours):
[tex]\[
\min(46, 40) = 40 \text{ hours}
\][/tex]
- Overtime hours (hours beyond 40):
[tex]\[
\max(46 - 40, 0) = 6 \text{ hours}
\][/tex]
3. Calculate Weekly Pay for Hourly Employees:
- Hourly rate: \[tex]$20 per hour
- Overtime rate: \$[/tex]30 per hour
- Weekly pay:
[tex]\[
(\text{Standard hours} \times \text{Hourly rate}) + (\text{Overtime hours} \times \text{Overtime rate})
\][/tex]
Substituting the values:
[tex]\[
(40 \times 20) + (6 \times 30) = 800 + 180 = 980 \text{ dollars}
\][/tex]
4. Calculate Weekly Pay for Salaried Employees:
- Annual salary: \[tex]$50,000
- Weekly pay (assuming 52 weeks in a year):
\[
\frac{50,000}{52} \approx 961.54 \text{ dollars}
\]
5. Compare Weekly Pay:
- Weekly pay for hourly employees: \$[/tex]980
- Weekly pay for salaried employees: \[tex]$961.54
6. Recommendation:
Since hourly employees make \$[/tex]980 per week, which is more than the \$961.54 per week for salaried employees, the hourly pay option is better.
Therefore, the best answer is:
b. Hourly pay. Hourly employees make more per week than salaried employees.
