In $2024,$ Amanda and Jaxon Stuart have a daughter who is $1$ year old. The Stuarts are full$-$time students and are both $23$ years old. Their only sources of income are gains from stock they held for three years before selling and wages from part$-$time jobs. What is their earned income credit in the following alternative scenarios if they file jointly? a$)$ Their AGI is $$15,000,$ consisting of $$14,000$ of capital gains and $$1,00$ of wages. b$)$ Their AGI is $$15,000,$ consisting of $$10,000$ of lottery winnings $($unearned income$)$ and $$5,000$l of wages. c$)$ Their AGI is $$30,000,$ consisting of $$23,000$ of wages and $$7,000$ of lttery winnings $($unearned income$)$ d$)$ Their AGI is $$30,000,$ consisting of $$5,000$ of wages and $$25,000$ of lottery winnings $($unearned income$)$ e$)$ Their AGI is $$10,000,$ consisting of $$10,000$ of lottery winnings $($unearned income$)$