$3.$ Yvonne works for New Hospital Services LLC and is enrolled in her employer sponsored retirement plan and a health insurance plan that includes a Health Savings Account $($HSA$).$ Yvonne$$s gross pay is $$78,000$ per year $($$$6,500$ per month$)$ and she has an average income tax rate of $26\%($after combining federal and state income tax rates$).$ Every month, Yvonne has a voluntary deduction from her paycheck of $$400$ for her $401$k retirement plan, $$240$ for her health insurance premium, and $$100$ for her HSA.

a$)$ What would Yvonne$$s after$-$tax income $($net pay$)$ be per month if she did NOT make these $3$ contributions to her employer sponsored plans? Include deductions for Social Security and Medicare taxes, so that your answer reflects what would actually be on her paycheck.

Net pay:

b$)$ As the Human Resources payroll representative, it$$s your job to determine Yvonne$$s taxable income and net pay after accounting for the three contributions. When she does participate in the plans described above, what is her taxable income and her after$-$tax income$/$net pay? Include deductions for Social Security and Medicare taxes, so that your answer for her net pay reflects what would actually be on her paycheck.

Taxable income:

Net pay:

c$)$ In reality, how much of Yvonne$$s $$6,500$ gross pay does Yvonne still own, in some form, after making the contributions and receiving her paycheck?

d$)$ As a result of making plan contributions, what are Yvonne$$s monthly tax savings?