Final answer:
The homebuilder can build 24 closets.
Step-by-step explanation:
To find the number of closets the homebuilder can build, we need to divide the total number of shelves in his inventory by the number of shelves needed for each closet.
So, 2,592 shelves ÷ 108 shelves per closet = 24 closets.
Therefore, the homebuilder can build 24 closets.