In $2023,$ 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? Use Exhibit $8-10.$

Note: Leave no answer blank. Enter zero if applicable.

c$.$ Their AGI is $$30,400,$ consisting of $$23,200$ of wages and $$7,200$ of lottery winnings $($unearned income$).$