To determine which company offers the greatest total employment compensation, we need to calculate the total compensation for each company by adding the gross pay, insurance, paid time off (if applicable), and job expenses (if applicable).
Let's break it down for each company:
### Company A:
- Gross pay: \[tex]$38,200
- Insurance: \$[/tex]3,500
- Paid time off: \[tex]$4,100
Total compensation for Company A:
\[
\text{Total compensation}_A = 38,200 + 3,500 + 4,100 = \$[/tex]45,800
\]
### Company B:
- Gross pay: \[tex]$39,000
- Insurance: 20% of gross pay = 0.2 \times 39,000 = \$[/tex]7,800
- Job expenses: \[tex]$700
Total compensation for Company B:
\[
\text{Total compensation}_B = 39,000 + 7,800 + 700 = \$[/tex]47,500
\]
### Company C:
- Gross pay: \[tex]$39,900
- Insurance: \$[/tex]3,200
- Paid time off: \[tex]$3,900
Total compensation for Company C:
\[
\text{Total compensation}_C = 39,900 + 3,200 + 3,900 = \$[/tex]47,000
\]
### Company D:
- Gross pay: \[tex]$39,400
- Insurance: 18% of gross pay = 0.18 \times 39,400 = \$[/tex]7,092 (rounded to \[tex]$7,092)
- No paid time off and no job expenses
Total compensation for Company D:
\[
\text{Total compensation}_D = 39,400 + 7,092 = \$[/tex]46,492
\]
Now that we've calculated the total compensation for each company:
- Company A: \[tex]$45,800
- Company B: \$[/tex]47,500
- Company C: \[tex]$47,000
- Company D: \$[/tex]46,492
Comparing these amounts, we see that Company B offers the greatest total employment compensation with a value of \$47,500.
So, the answer is:
b. Company B
