The costs are determined by warranty, if this is a model with some special extended coverage (call 1-800-SAMSUNG), location (boondock repairs cost more) and the owner's skills.
Why I listed the owner's skills is because some owners can't tell if the cable is out, disconnected so the service must be FULL SERVICE and the owner pays for that. I've yet to see any warranty cover issues with cables or dead batteries in the remote.
I know this doesn't answer your question but you can collect your details and try 1-800-SAMSUNG to get started.
Bob
So I have been reading about an issue where the screen goes Blank. I do not know what my model number is however if doing the cable box thing does not work, what else could be the problem? Can they fix this, and if they can was is the approximate cost? Anyone know...I did not hear or read of any resolutions? Any help or ideas?

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic