Determining build capacity for assembly items

I am looking for a method to calculate the build capacity (as of right now) for one/all of our assembly items.

Each assembly item is made up of multiple members, most of which are also assembly items (the tree is about 5 levels deep of subassembly items). So the basic calculation needs to be something like:

Go through each level of all subassembly parts, and determine THEIR build capacities, until you reach the inventory part level where we can start looking for the minimum number (which is what the limiting factor is on building any of the upstream assemblies).

I can't see any simple way of doing this through reporting, though I'd be happy to be wrong here. I'm not opposed to doing some custom scripting, but am curious if anyone has any experience doing something like this, or could point me in the right direction of a simple way it might be accomplished.