Which of the following statements, with respect to earned income received by a $15-$year$-$old child who is eligible to be claimed as a dependent, is CORRECT?

The child has a limited standard deduction $($up to $$1,250$ in $2023)$ available.

The child has up to a full standard deduction $($$$13,850$ in $2023)$ available.

Any income in excess of $$1,250$ is taxable at the parent's marginal rates.

The income is not subject to the parent's rate because it is earned income.

A$)$

I and III

B$)$

II only

C$)$

II and IV

D$)$

I only