That's what I'm telling you. That's the holy grail of ornamental fish aquaculture. The first person that figures out how to (a) successfully, (b) reproducibly, and (c) cheaply captive breed yellow tangs will have a gold mine. But, it's pretty much the same story with cleaner shrimp. Four months in the plankton at least, and the only hobbiests that I know that have done it always end up with one shrimp at the end. That's a long time for one shrimp! Yet there's supposed to be a place in Europe that's supplying the whole European market with captive-bred cleaner shrimp. It can be done.
The problem with tangs is that it seems that they need a large tank to get along but also one with a tall water column to get successful fertilization of the eggs. You can get fertile eggs from them, but you basically need to keep them in a swimming pool.
Then comes the hard part, figuring out a succession of feeds starting with a very small first food at the right times and in the right order and always in the right quantity and you can't screw up for at least six months. And if you do screw up, you have to start all over again. And if you ever figure it out, then you have grow out and get to deal with all the tang aggression issues. How big would that tank have to be? Say for 1,000 yellow tangs?
Ah, but if you managed to raise one, every aquaculture company in the world would be banging at your door with offers for your expertise. They'd upscale your ideas into huge saltwater ponds in Asia.
But, what'll probably happen first is what's happening for Maculosus angels. Someone trained collectors to go out and find just-post-metamorphosis juvenile fish. They catch them and raise them in captivity. They let nature take care of the first foods. Tons and tons of the angels normally die as juveniles, so by growing them out they wind up with many more angels than would normally survive. I think it might have been done with tangs but not on a large scale yet.
Reading. If you buy books off one of these two pages, you help to support marine ornamental breeding. These are very good lists!
http://www.reefstewardshipfoundation.org/reading.html
http://www.marinebreeder.org/phpbb/support.php?sid=bf0d8b76bbafd460f5256f12149d9ea0