Your factory-produced legal copies of what? NBC's content? No you can't. Making DVDs in a factory doesn't magically assign copyright to you. You need NBC's permission.
I don't need their permission to record a broadcast. I only need their permission to make copies beyond that, depending on circumstances that don't matter because I'm not doing that in the hypothetical.
Can you give me references for this? As far as I understand it the broadcaster is doing the first distribution, so the copyright holder cannot restrict my ability to resell the (single) copy they gave me.
Does the first sale doctrine not apply when the original was $0?