$1.$ Shelly, single, is a full$-$time elementary school teacher. She is interested in learning the basics of information technology to improve her current job skills and enrolled in a couple of IT courses at the local college. Shelly paid $$3,500$ for tuition and fees and $$300$ for textbooks from a local bookstore $($not required by the institution$).$ She received a Form $1098-$T$.$ Her AGI was $$56,000,$ and her tax liability on line $16$ of Form $1040$ was $$5,094$ for $2023.$ Shelly has never been convicted of a felony for possessing or distributing a controlled substance. Which education credit and credit amount is Shelly eligible to claim?

a$)$ American opportunity credit; $$2,375$

b$)$ American opportunity credit; $$2,450$

c$)$ Lifetime learning credit; $$700$

d$)$ Lifetime learning credit; $$760$