Calculate the American Opportunity credit and

Lifetime Learning credit $($if any$)$ for Colin given

the following facts:

Colin has two college$-$age children, Eliza, a

sophomore at State University, and Rhett, a

graduate student at Out$-$of$-$State University. Both

Eliza and Rhett are full$-$time students. Eliza's

expenses for the academic year are as follows:

$$9,000$ for tuition $($ $$4,500$ per semester$),$ $$800$ for

books and supplies, and $$9,000$ for room and board.

Rhett's expenses for the year are as follows:

$$20,000$ for tuition $($ $$10,000$ per semester$),$ $$900$

for books and supplies, and $$10,500$ for room and

board. Tuition and the applicable room and board

costs are paid at the beginning of each semester.

Colin is married, files a joint tax return, claims

both children as dependents, and has a combined AGI

with his wife of $$170,000.$