Maybe this is what Apple should be looking into as a way of bypassing the need for replacing the logic boards..
http://www.notebookcheck.net/Review-External-Graphics-Cards-for-Laptops.112162.0 .html
Connecting an external graphics card could be a solution albeit an expensive one just to keep a 3 year old machine alive.
I'm a UK resident so will definitely be quoting the Sale of Goods Act on this one. Here is some documentation I found from the apple site itself in relation to claims in the UK/EU (some countries impose certain their rules/jurisdictions). Would be interesting to see if we could get some media coverage going on this issue through legal challenges.
https://www.apple.com/ie/legal/statutory-warranty/
Plan to pop into the London Regent Street store and have a chat with the "Genuis' ". Will provide you with an update as to what transpires.
This is I must tell you that after having visited the Amsterdam store 3 times to reach a compromise with little joy and ended up feeling like these guys don't even care about the customer service Steve Jobs created and inspired. This is what made his product of "Apple" sell to the masses. We had every confidence in what we were buying be it the iPhone 3, iPod (1st Generation), etc because of its sleek, functional yet simple design had us drooling and to top it off the sales guys were so helpful and even gave you tips on how to use your new product. Now? They run around the sales floor grabbing as many credit cards they can (almost as if a game), swiping them, handing the customer the receipt and wishing them a nice day... eh? Did I miss something? "Hey you didn't teach me how to turn it on! ", "We don't, that's why you have a manual inside! Have a good day!, Next, Ms EDITED, How can I help you today?". Why go through all that when you can order online, but hey where is the fun in that? Customer Service is after all about human interaction.
I have been merely frustrated in my attempts to compromise with Apple in anyway shape or form. The tech guys simply pointed to the hardware replacement programme, went on to say there is no replacement programme for the logic board and offered me a fix within 2-3 hours (having made a space in their ever busy schedule) at a cost of €410, in the Amsterdam store of The Netherlands. Sorry but that is a lot of money and I want to take out a business finance package with Apple but it all rests on how they deal with my current machine. I certainly don't see the point in putting another logic board from another failed machine for the problem only to reoccur and possibly worse than before.
After having spoken with a few of the online tech support, receiving a phone call from a Senior Advsior based in Cork, Ireland, not much has occurred for me and it is a great shame that Apple cannot work on a case by case basis in their dealing with this issue as it would go away quickly if they were to replace the dead machines with good and new machines or even refurbished machines and not this model (self defeating indeed).
I have for the last few days managed to get my machine to work but only runnning "integrated only" in gfxCardStatus as when trying to use an application that utilises the AMD graphics card the shift screen problem occurs along with fuzzy lines, six horizontal yellow lines cursor. Means I can't really do much apart from use safari and doesn't require the AMD Card. I know its only a matter of time before the chip fails....
I hope I can get some joy from the UK store. Who knows...