Liam is a computer systems analyst considering job offers from two companies. Compare the offers based on annual income after housing and utility costs.

[tex]\[
\begin{tabular}{|c|c|c|}
\hline
\multicolumn{3}{|c|}{Liam's Job Offer Comparison} \\
\hline
& Job 1: Seattle, WA & Job 2: Silicon Valley, CA \\
\hline
Salary & \$78,000 & \$100,000 \\
\hline
Benefits & \$4,000 bonuses, health insurance & \$2,500 bonuses, health insurance \\
\hline
Average Monthly Rent \& Utilities & \$4,010 & \$4,010 \\
\hline
\end{tabular}
\][/tex]

Which company is a better choice based on annual income after housing and utility costs?

A. Job 2 is a better choice because it offers a salary and benefits worth \[tex]$20,500 more than Job 1.
B. Job 2 is a better choice because the annual income after housing is expected to be \$[/tex]140,300, while Job 1 is expected to be \$98,200.



Answer :

Let's compare the two job offers step-by-step to determine which one is better based on the annual income after housing and utility costs.

1. Calculate the total income including benefits for both jobs:

Job 1: Seattle, WA
- Salary: \[tex]$78,000 - Benefits: \$[/tex]4,000 (in the form of bonuses)

Total income for Job 1:
[tex]\[ 78{,}000 + 4{,}000 = 82{,}000 \][/tex]

Job 2: Silicon Valley, CA
- Salary: \[tex]$100,000 - Benefits: \$[/tex]2,500 (in the form of bonuses)

Total income for Job 2:
[tex]\[ 100{,}000 + 2{,}500 = 102{,}500 \][/tex]

2. Calculate the annual income after deducting the housing and utility costs for both jobs:

Note that both job offers have the same average monthly rent and utilities cost amounting to \[tex]$401,000 annually. Job 1: Seattle, WA \[ 82{,}000 - 401{,}000 = -319{,}000 \] Job 2: Silicon Valley, CA \[ 102{,}500 - 401{,}000 = -298{,}500 \] 3. Calculate the difference in income between the two jobs: Difference in annual income between Job 2 and Job 1: \[ (-298{,}500) - (-319{,}000) = 20{,}500 \] From these calculations, we can conclude: - Job 2 in Silicon Valley, CA will result in a better annual income after housing and utility costs compared to Job 1 in Seattle, WA. - Job 2 offers a total income (salary + benefits) that is \$[/tex]20,500 more than Job 1.
- The annual income after housing and utility costs for Job 1 is expected to be \[tex]$ -319,000, while for Job 2, it is expected to be \$[/tex] -298,500.

Therefore, Job 2 is a better choice based on the annual income after housing and utility costs.