To determine the best payment option for a new employee, let's calculate both the weekly pay for a salaried employee and for an hourly employee based on the given data.
First, for the salaried employee:
1. The annual salary is [tex]$78,000.
2. There are 52 weeks in a year.
3. The weekly salary of a salaried employee is therefore:
\[
\frac{78,000}{52} = 1,500 \text{ dollars}
\]
Next, let's calculate the pay for an hourly employee:
1. The hours worked each day of the week are:
\[
[0, 8, 8.5, 9.5, 10, 8, 3]
\]
2. The total hours worked during the week is the sum of these daily hours:
\[
0 + 8 + 8.5 + 9.5 + 10 + 8 + 3 = 47 \text{ hours}
\]
3. Regular hours are up to 40 hours per week, and any hours beyond that are considered overtime. So:
\[
\text{Regular hours} = 40 \text{ hours}
\]
\[
\text{Overtime hours} = 47 - 40 = 7 \text{ hours}
\]
4. Hourly employees get paid $[/tex]26 per hour for regular hours and [tex]$39 per hour for overtime. Therefore, the total weekly pay for an hourly employee is:
\[
(40 \text{ regular hours} \times 26 \text{ dollars/hour}) + (7 \text{ overtime hours} \times 39 \text{ dollars/hour})
\]
\[
= (40 \times 26) + (7 \times 39) = 1,040 + 273 = 1,313 \text{ dollars}
\]
Now let's compare the two weekly pay amounts:
- Weekly pay for salaried employee: $[/tex]1,500
- Weekly pay for hourly employee: [tex]$1,313
Since $[/tex]1,500 (salaried) is greater than $1,313 (hourly), the recommendation is that the new employee should choose the salaried pay option.
The best answer is:
c. Salaried pay. Salaried employees make more per week than hourly employees.
