When should we make calls to make a minyan?

General policy as per the ritual committee is to make calls to fill a minyan when there is someone present saying Kaddish or with a Yortsayt. This can't be done at Shabbat mincha as we don't make calls on Shabbat. But what about when there is a Torah reading? I would think that we wouldn't want to fail to have a minyan any time there is a Torah reading. And what about our Russian gentlemen? They find it very disturbing when we don't have a minyan even if there isn't anyone saying Kaddish or with a Yorstayt. They are elderly and their attendance is an effort that deserves to be dignified by the effort of a few phone calls. I follow the lead of the ritual committee here, but with qualms.

Why are we here?

This Shabbat at mincha we did not make minyan. This is the third evening minyan that fell through this week and that is just sad. I'm not sure what the priorities are or are thought to be at Cong. Beth Sholom these days, but if daily minyan isn't one of them I'm in the wrong place.