Problem $3-35($LO$.1,2,3,4,5,6)$ Charlotte $($age $40)$ is a surviving spouse and provides all of the support of her four minor children $($ages $4,8,11,$ and $14)$ who live with her. She also maintains the household in which her parents live and furnished $\backslash (60\backslash \%\backslash )$ of their support. Charlotte's father earned $\backslash (\backslash$$ $2,400\backslash )$ from a part$-$time job and received $\backslash (\backslash$$ $5,500\backslash )$ of municipal bond interest. Charlotte has a salary of $\backslash (\backslash$$ $81,800\backslash ),$ a $\backslash (\backslash$$ $2,000\backslash )$ loss on the sale of stock, a cash prize of $\backslash (\backslash$$ $4,000\backslash )$ from a church raffle, and itemized deductions of $\backslash (\backslash$$ $17,200\backslash ).$ Click here to access the Components of the tax formula to use, if required. If an amount is zero, enter $"\backslash (\backslash$$ $0\backslash )".$ a$.$ Compute Charlotte's taxable income. b$.$ Using the Tax Rate Schedules $($click here$),$ tax liability $($before any allowable credits$)$ for Charlotte is $\backslash (\backslash$$ $\backslash )$ X for $2025.$ c$.$ Compute Charlotte's child and dependent tax credit. Charlotte's child tax credit is $\backslash (\backslash$$ $\backslash )\backslash (\backslash$checkmark $\backslash ),$ of which $\backslash (\backslash$$ $\backslash )\backslash (\backslash$mathbf$\{$X$\}\backslash )$ may be refundable and her dependent tax credit is $\backslash (\backslash$$ $\backslash )\backslash (\backslash$checkmark $\backslash )$ of which $\backslash (\backslash$$ $\backslash )\backslash (\backslash$checkmark $\backslash )$ may be refundable. Feedback $\backslash (\{\}^\{*\}\backslash )$ Check My Work Taxpayers are allowed to deduct the greater of itemized deductions or the standard deduction. The child tax credit and dependent tax credit are provided to individual taxpayers based on the number of their qualifying children and dependents. The computation of income tax due $($or refund$)$ involves applying the proper set of tax rates to taxable income and then adjusting for available credits.