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Actually lift capacity at that altitude is very limited. Hypoxia can set in at above 10k ft. 15k feet which is where this crash is about is an almost certainty if you are not acclimatized.
You would need a helicopter that was fitted with air gen or supply systems which are not standard. You would also need rotor blades designed to work at high altitudes.
From there it is actually just pure math. How much fuel to time do you take on board to do the job. If you need multiple runs how close/high can you set up a FARP (forward air refueling point). No need to carry a full tank of gass if you can do the job with a quarter tank. Fuel weighs a lot.
You calculate the weight of the aircraft with all bodies and fuel on board at the altitude (in this case very thin air) you are working when you arrive at that point you need to hover. The difference between what you maintain a hover at and over torquing the AC is what you can carry down. That is hovering in clean air and not ground cushion.
>Fly another helicopter up there and fill it with equipment. What could go wrong??
Fucking loads could go wrong. High altitude mountain flying is all about good airmanship, patience and escape routes. I have never worked at the altitudes described in this thread but would love the challenge of it.