To determine which payment option to recommend, let's analyze the weekly earnings for both salaried and hourly employees based on the provided work hours:
First, we sum up the hours worked from Sunday to Saturday:
[tex]\[ 0 + 8 + 8 + 9 + 9.5 + 7.5 + 4 = 46 \text{ hours} \][/tex]
Given that an hourly employee is paid \[tex]$20 per hour for the first 40 hours and \$[/tex]30 per hour for any overtime hours, we need to calculate both regular and overtime hours:
[tex]\[ \text{Regular hours} = 40 \][/tex]
[tex]\[ \text{Overtime hours} = 46 - 40 = 6 \text{ hours} \][/tex]
Next, calculate the pay for the hourly employee:
[tex]\[ \text{Regular pay} = 40 \text{ hours} \times \$20/\text{hour} = \$800 \][/tex]
[tex]\[ \text{Overtime pay} = 6 \text{ hours} \times \$30/\text{hour} = \$180 \][/tex]
[tex]\[ \text{Total hourly pay} = \$800 + \$180 = \$980 \][/tex]
Next, let's calculate the weekly pay for a salaried employee:
[tex]\[ \text{Annual salary} = \$50,000 \][/tex]
[tex]\[ \text{Weeks per year} = 52 \][/tex]
[tex]\[ \text{Weekly salary} = \frac{\$50,000}{52} \approx \$961.54 \][/tex]
Now, compare the weekly earnings of hourly and salaried employees:
[tex]\[ \text{Hourly weekly pay} = \$980 \][/tex]
[tex]\[ \text{Salaried weekly pay} = \$961.54 \][/tex]
Since \[tex]$980 > \$[/tex]961.54, an hourly employee makes more per week than a salaried employee. Therefore, the best recommendation for a new employee is:
b. Hourly pay. Hourly employees make more per week than salaried employees.
