This is an 820-2915 board from 2011. No we do NOT pay to replace the board in this machine! This is a waste of money!
You run GPUtest and prime95 all day long until the GPU dies, then you take it to Apple for them to replace this $@$* board for free.
Then the moment you get it back fixed, at no cost to you, you sell it and put that money towards a new machine.
You spend $2000 or $3000 for a top of the line product, you do not deserve to be stuck with a lemon piece of trash board just because Apple wants you to buy a new machine. Get your money back from this one.
You can fit an 820-3330 board in there, which comes with a next generation ivy bridge processor(upgrade from sandy bridge processor), a superior GPU that doesn't die for no reason, and a much cooler system with better battery life. The only jerry rigging required here is trying to get the older LVDS cable to fit into the newer connector properly, this is a nightmare. In this case you are spending $700 of your own money for a minor upgrade, which I do not think is a good idea at all.
I strongly suggest going the route of properly murdering your malfunctioning machine, then giving it to Apple to fix for free, then reselling it and using that money to buy a Retina. You have to murder it because they will sell you a GTFO and use ANY EXCUSE AT THEIR DISPOSAL to not cover you under the extended warranty program. This is how Apple works, the focus is on their wallet and bottom line not what is fair to the user that gave them three thousand dollars. So that GPU has to be dead and proper &&^&@@ before you go o the store.