Final answer:
The Cumberlands qualify to claim a nonrefundable portion of $1,000 in the AOTC.
Step-by-step explanation:
The nonrefundable portion of the American Opportunity Tax Credit (AOTC) that the Cumberlands qualify to claim is $1,000.
The AOTC is a tax credit available for qualified education expenses, such as tuition, fees, and course materials, paid for higher education. The nonrefundable portion means that it can only reduce the amount of tax owed to zero but cannot result in a refund if the credit exceeds the tax liability.
Since the specific amounts mentioned in the question do not provide further guidance, the answer defaults to the standard nonrefundable portion of $1,000 for the AOTC.