My system profiler says the exact same thing and I know it's an Apple supplied drive. I think you can assume the drive is at least going to be recognized as such.
Have you tried using another application to try an burn discs with? I'm assuming that you are attempting burn a simple data DVD and not playable DVD movie.
You could download something like Burn and see if your drive works with other software. I personally would use something like Toast from Roxio but they don't offer a trial and no point in spending money if the drive isn't working right. I have no personal use with this software, so keep that in mind before trying.
http://burn-osx.sourceforge.net/Pages/English/home.html
If you can get it to burn a disc successfully using a different application than what comes with OSX, then it's likely a software issue. Perhaps you need to reinstall the OS. If it won't burn a disc, consider the real possibility that the optical drive is no longer working.
When was the last time you successfully burned a data DVD with this drive?