$1)$ Kim makes $$35,000$ of earned income. She files head of household and has $2$ qualifying children for earned income tax purposes in $2023.$ What is her earned income tax credit?

$2)$ In the question above, assume Kim was considering a second job that would pay $$10,000.$ Assume she will be in the $12\%$ bracket for federal tax purposes, pay a $5\%$ state tax and $7\mathrm{.}65\%$ FICA tax, what is her marginal tax rate and how much of the $$10,000$ would she get to keep as net pay after taxes? $($Remember$,$ she will lose some of her earned income credit due to the phase out. Assume she does not take any addition tax credits that are phased out besides the earned income credit.$)$

A$.$

$$10,000$ net pay after taxes $($marginal tax rate of $0\%)$

B$.$

$$8,800$ net pay after taxes $($marginal tax rate of $12\%)$

C$.$

$$7,535$ net pay after taxes $($marginal tax rate of $24\mathrm{.}65\%)$

D$.$

$$5,429$ net pay after taxes $($marginal tax rate of $45\mathrm{.}71\%)$