Answer :
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
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
Answer: Which of the following companies offers the greatest total employment compensation?
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