Demarco and Janine Jackson have been married for $20$ years and have four children $($no children under age $6$ at yearend$)$ who qualify as their dependents $($Damarcus$,$ Jasmine, Michael, and Candice$).$ The couple received salary income of $$102,000$ and qualified business income of $$13,000$ from an investment in a partnership, and they sold their home this year. They initially purchased the home three years ago for $$215,000$ and they sold it for $$265,000.$ The gain on the sale qualified for the exclusion from the sale of a principal residence. The Jacksons incurred $$17,100$ of itemized deductions, and they had $$4,000$ withheld from their paychecks for federal taxes. They are also allowed to claim a child tax credit for each of their children. However, because Candice was $18$ years of age at year end, the Jacksons may claim a child tax credit for other qualifying dependents for Candice. $($Use the tax rate schedules.$)$

a$.$ What is the Jacksons' taxable income, and what is their tax liability or $($refund$)?$

Note: Do not round intermediate calculations.

$\backslash$table$[[$Description$,$Amount$],[(1)$ Gross income,$115,000],[(2)$ For AGI deductions,$],[(3)$ Adjusted gross income,$115,000],[(4)$ Standard deduction,$],[(5)$ Itemized deductions,$],[(7)$ Deduction for qualified business income,$],[(8)$ Total deductions from AGI,$],[(9)$ Taxable income,$],[(10)$ Income tax liability,$],[(11)$ Other taxes,$],[(12)$ Total tax,$],[(13)$ Credits,$],[(14)$ Prepayments,$]]$