I know this has been said before, but it's still true that there are often reasons other than "making a profit" that keep a show open. I think OYF is probably a perfect example of these "alternate inducements"
1. The producers may wish to continue to promote the underlying product -- in this case, the Estefan/Miami Sound Machine brand.
2. The producers may wish to promote an upcoming tour.
3. The producers may feel that the losses they are taking are helpful in their tax situation.
4. The producers may feel that the ego gratification/fun of having a show on Broadway is worth something out of their own pockets. Kind of like if you go to a casino and lose $100 -- it's an amount you can afford, and it sure was fun.
And I am sure there are many more.
I'm pretty comfortable that the Estefans are having great fun with this, can fully afford whatever hit they are taking, and that, over the long run, the marketing/branding of their songbook will more than cover any losses from OYF.
Let's not forget that unlike many shows that are just "selling the show" and some related merchandise, including the OCR and the tshirts and ephemera in the lobby, the Estefans have 23 "albums" lots of singles, a bunch of videos and god knows what else that they very likely continue to get residuals from.
Besides, with a net worth north of $500M, a stake in the Miami Dolphins, and the seat on the Board of Univision, I think they can afford a little "vanity press" project.
(I thought the show was kinda "meh"-- but I'm 100% in favor of it staying open for another 10 years and keeping that theatre lit and filled with people buying discounted tickets!)