AK with healthy stack on button facing a raise and cc

[Greeksquared]

I just wanted to bring up a common situation in tourneys where you have to make the decision with your AK.

30+3 NL on party.
140/1000 left...first pays 5k
I get dealt AK on button.
Stack at 6000
Blinds 100/200

pf action

EP makes it 1000
LP cc 1000
I do what???..both players cover

Have not seen EP get out of line yet.
I think this is a very tough and common situation. I was wondering how many BB's will it take anyone to fold this pf or even making calling a viable option.