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 $60\%$ of their support. Charlotte's father earned $$2,400$ from a part $-$ time job and received $$5,500$ of municipal bond interest. Charlotte has a salary of $$81,800,$ a short$-$term capital loss of $$2,000,$ a cash prize of $$4,000$ from a church raffle, and itemized deductions of $$10,500.$ Click here to access the Components of the tax formula to use, if required. If an amount is zero, enter $"$$$0".$ a$.$ Compute Charlotte's taxable income. $b$.$ Using the Tax Rate Schedules $($click here$),$ tax liability $($ before any allowable credits$)$ for Charlotte is $c$.$ Compute Charlotte's child and dependent tax credit. Charlotte's child tax credit is $$,$ of which $ may be refundable and her dependent tax credit is $ of which $ may be refundable.