It used to be about $165 when it launched, not counting things like shipping, store cut and marketing. The profit was $50.

The margins stayed that way for over two and a half years because the shortage situation made it impossible for them to change manufacturing, which would have required a temporary slowing down of production. So until 2009 it was virtually the same cost, even though the technology could have been much cheaper if they could have modified manufacturing, which they didn't until last year.

Right now it's probably very cheap though, I'd say less than $100 or so..

The Gamecube was sold with a profit at $99 in the end. And since most part of a Wii are upgraded GC components and with improved fabrication processes, the Wii should be cheaper to produce by now than a Gamceube was. Add in a IR receiver and slightly more expensive controller, you end up at around Gamceube price point. 

So below $100 i would say.