Bad power supply AND logic board.

"Your serial number qualifies you for a free repair. If Apple refuses come back and I'll take you to the class action law suit information. Read the following and armed with this, go straight to Corporate Apple, screw the local guys, you found the real pros here. (800) APL-CARE (800-275-2273):

http://9to5mac.com/2013/08/16/apple-open...

The last four characters of the serial number must contain one of the following groups (for example, xxxxxxxxDHJQ):

DHJQ, DHJW, DL8Q, DNGH, DNJ9, or DMW8

DPM1, DPM2, DPNV, DNY0, DRVP, DY6F, F610"

"A cascading failure is a failure of interconnected parts in which the failure of a single part can trigger the failure of successive parts. Such a failure may happen in many types of systems, including power transmission (you may recall reading in the news that many early blackouts were caused by a power cascade from a single blown transformer), computers, home heating and cooling... any system of multiple parts could suffer a cascade failure.

Was there an unprotected power surge that destroyed the machine? I find it unusual that Apple wouldn't make an allowances for a machine as near to still having a warranty as you state. Have you tried escalating the claim with Apple?

If you had a home power issue your homeowners insurance may cover part of your repair.

I had a cascade failure of my home heating and cooling systems this spring due to a nearby lightening strike in a thunderstorm. No other appliances were damaged but apparently the wet grass allowed current to enter the outdoor AC unit, blow up it, the furnace and the thermostat... without causing any bangs, fires or smell of burning materials.

The first clue I had that anything was wrong occurred two days after the storm when I went to turn on my AC and nothing happed.

If this answer is acceptable please remember to return and mark it."

I have had the same problem. If you google logic board for imac I found one for 23.00, installed myself, now works fine. My imac would not turn on at all, like you tried everything.

"This is my SECOND iMac with the same issue as before; intermittently shuts off. I had taken it to the store 29 days before it was out of warranty (driving 2.5 hours to the nearest store and picking it up 2 weeks later for a total of 10 hours drive time). They said the issue was resolved. Once I got home, I realized this wasn’t the case. Via Apple support, I have done a full erase and reinstall. Seemed to do the trick… until 2 hours later when it shut down again.

Apple support’s solution is to once again drive it to my nearest Apple store and pay for out-of-warranty repair.

My entire family will be switching to Windows-based products when it comes time to purchase new devices."