Its definitely the logic board

WE HERE THIS DAILY FROM PEOPLE WALKING IN , EXPECTING BAD NEWS , CONFIRMATION  OF WHAT THEY HAD BEEN TOLD BY (INSERT REPAIR SHOP HERE), WE SPECIALIZE IN SO CALLED WORST CASE......13 PLUS YEARS AND THOUSANDS OF SO LABELED BAD LOGIC BOARDS NOT BEING BAD. 

DONT TAKE MY WORD FOR IT GO ON CRAIGSLIST AND SEARCH LIQUID DAMAGED MACS ABD SEE HOW MANY BENEVOLENT SOULS WANT TO BUY YOUR SO CALLED BAD MAC, HUNDREDS , WHY IS THAT ...THEN GO ON EBAY AND SEE WHAT THEY SELL FOR SOMETIMES WITHIN A HUNDRED BUCKS OF WHAT FINES ONES SELL FOR, BECAUSE 95% OF THE TIME ITS A MINOR OR MINOR COMPONENTS THAT HAVE FAILED AND CAN EASILY BE FIXED. 

DIAGNOSTICS ARE FREE HERE , MAYBE YOUR MAC IS DEAD MAYBE IT ISNT FOR THE COST OF THE GAS TO GET HERE , COME FIND OUT FREE :)