The show is "Flying Wild Alaska", which is one of those Discovery Channel/History Channel infomercials for one family business or another out in the wild. This one focuses on Eva Air, a subsidy-gobbling regional carrier in Alaska operated by the Tweto family. Not pictured above is Jim(?) Tweto, the Caucasian family patriarch. Also, old Mom there appears to be mixed as well. I would guess the girls are at most Eskimo quadroons, and probably much less Eskimo blood than that, which is why they are stupid but functional. Like Todd Palin, who doesn't come off as all that bright, but decent and able to hold a job.
Watching the show, one gets the idea that Ariel in particular hopes that Discovery Channel/History Channel will get her the fuck out of there.