Here in Finland you can get a split system good for -30 Celsius for 2-3k€ including installation. Mitsubishi is considered the best, but others are available. My Panasonic has been working fine.
is that for a single head minisplit? In the US i installed one back in 2004 by myself, and i remember it costing around $1400.
the system i have now is also a minisplit, but it has 5 heads, and is 5.5 tons. If i run one of 4 heads by itself, it can do 3 tons to just that head. the fifth head is smaller BTU, i think it's 3/4 ton max. It cost $3,723.68, plus an additional $5000 to get it installed and working, give or take. As i mentioned, i got the $3723 refunded due to manufacturer's defect.
That's for single head, yes. From my point of view, single head is the norm here. In here too, I would imagine multi-head to be cheaper per head than single head.