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$[$The following information applies to the questions displayed below.$]$

Brooke, a single taxpayer, works for Company A for all of $2024,$ earning a salary of $$52,000.$

Note: Round your intermediate and final answers to the nearest whole dollar amount.

b$.$ Assume Brooke works for Company A for half of $2024,$ earning $$74,600$ in salary, and she works for Company B for the second half of $2024,$ earning $$124,600$ in salary. What is Brooke's FICA tax obligation for the year?

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In $2024,$ Nadia is single and has $$108,000$ of regular taxable income. She itemizes her deductions as follows: real property taxes of $$1,900,$ state income taxes of $$2,400,$ and mortgage interest expense of $$12,000($acquisition indebtedness of $$200,000).$ In addition, she receives tax$-$exempt interest of $$1,800$ from a municipal bond $($issued in $2006)$ that was used to fund a new business building for a $($formerly$)$ out$-$of$-$state employer. Finally, she received a state tax refund of $$500$ from the prior year.

Note: Amounts to be deducted should be indicated by a minus sign.

a$-1.$ What is Nadia's AMTI this year if she deducted $$16,000$ of itemized deductions last year $($including a total of $$4,200$ of real property taxes and state income taxes$)$ and did not owe any AMT last year?