Costs a lot to live there....unless you can hunt for your own food, trap your own furs, have the know-how to build your own home, etc and then it wont be that pricey.
That being said, Alaska has far more reasons to use a knife so what do you have the most need for? If it was me, I would check what I need first and if it's all met, get what I want which would be getting a nice quality chopper and a folding knife.