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Here's an article where Nintendo said BotW would only need to sell 2m before being profitable.

https://www.forbes.com/sites/olliebarder/2016/06/30/zelda-breath-of-the-wild-needs-to-sell-2-million-copies-to-break-even/#62ee2354615f

Obviously Arms didn't cost even a fraction as much as BOTW (I'd bet money on BOTW being Nintendo's most expensive game ever by a decent margin). So yes it should be very profitable at 2.5m sold. Definitely enough to continue the franchise. 

Last edited by HyrulianScrolls - on 14 April 2018