A company hires an employee with a family of 5 for a salary of [tex]\$160,000[/tex] over 2 other candidates. If the employee sold her house for [tex]\$340,000[/tex], what is the total recruiting expense?

\begin{tabular}{|l|l|}
\hline \multicolumn{2}{|c|}{Recruitment Costs} \\
\hline Interview Costs & [tex]\$2,000[/tex] per person \\
\hline Job Posting Fee & [tex]\$1,000[/tex] \\
\hline 1st Year Fee & [tex]10\%[/tex] \\
\hline Real Estate Fee & [tex]6\%[/tex] of sales price \\
\hline Shipping Fee & [tex]\[tex]$4,000[/tex] \\
\hline Family Travel Cost & [tex]\$[/tex]400[/tex] per person \\
\hline
\end{tabular}

What is the total recruiting expense?

[tex]\[
\boxed{\$[?]}
\][/tex]



Answer :

Let's break down the expenses step by step, ensuring all the costs are included:

1. First Year Fee:
- Since the salary is [tex]\( \$160,000 \)[/tex] and the first year fee is [tex]\( 10\% \)[/tex], we calculate:
[tex]\[ \text{First Year Fee} = 0.10 \times 160,000 = \$16,000 \][/tex]

2. Real Estate Fee:
- The real estate fee is [tex]\( 6\% \)[/tex] of the house sale price (\[tex]$340,000): \[ \text{Real Estate Fee} = 0.06 \times 340,000 = \$[/tex]20,400
\]

3. Family Travel Cost:
- The family travel cost is [tex]\( \$400 \)[/tex] per person for a family of 5:
[tex]\[ \text{Family Travel Cost} = 400 \times 5 = \$2,000 \][/tex]

4. Interview Costs:
- The interview costs per person are [tex]\( \$2,000 \)[/tex]. Assuming only one candidate was interviewed, the cost remains:
[tex]\[ \text{Interview Costs} = \$2,000 \][/tex]

5. Job Posting Fee:
- The job posting fee is simply:
[tex]\[ \text{Job Posting Fee} = \$1,000 \][/tex]

6. Shipping Fee:
- The shipping fee for moving is:
[tex]\[ \text{Shipping Fee} = \$4,000 \][/tex]

Now, let's add all these expenses to find the total recruitment expense for the company:

[tex]\[ \text{Total Recruitment Expense} = \text{Salary} + \text{Interview Costs} + \text{Job Posting Fee} + \text{First Year Fee} + \text{Real Estate Fee} + \text{Shipping Fee} + \text{Family Travel Cost} \][/tex]

Plugging in the numbers:

[tex]\[ \text{Total Recruitment Expense} = 160,000 + 2,000 + 1,000 + 16,000 + 20,400 + 4,000 + 2,000 = \$205,400 \][/tex]

So, the total recruiting expense for hiring the new employee is [tex]\( \boxed{\$205,400} \)[/tex].