Frances $(63)$ shared a home all year with her son, Antonio $(41),$ and Antonio's son, Danny $(23).$ They were all U$.$S$.$ citizens, lived in the U$.$S$.$ all year, and all had social security numbers valid for employment. Frances and Antonio worked full$-$time. Danny was a part$-$time student during the year; he took one class at the local community college. Danny also worked part$-$time and had wages of $$6,800.$ No one else lived in the home. Frances had earned income and an adjusted gross income of $$23,459.$ She had no foreign income or investment income. Antonio had earned income and an adjusted gross income of $$32,500.$ He had no foreign income or investment income. Who, if anyone, is eligible to claim and receive the Earned Income Credit?

Both Frances and Antonio.

Either Frances or Antonio but not both.

Frances only.

No one.

Alex $(27)$ is filing as a single taxpayer with no dependents. Alex's earned income and adjusted gross income in $2023$ was $$13,500,$ all from wages. He had no other income.

Derek $(38)$ and Serena $(39)$ are married, filing a joint return. Derek's income from wages was $$22,700.$ Serena's income from wages was $$31,600.$ They had no other income in $2023.$ Derek and Serena had their first child, Caleb, in December $2023.$

Romeo $(29)$ and Suzie $(39)$ are married, filing a joint return. Romeo's income from wages was $$20,800.$ Suzie's income from wages was $$42,600.$ They had no other income in $2023.$ Romeo and Suzie have three qualifying children $($ages $3,6,$ and $9).$