My shul has about a dozen Sifrei Torah but only 3 are kosher. I feel that a shul needs a minimum of 4. My reasoning:
Next week is a good example - There are 2 days of Shavu'ot followed closely by Shabbat. I need 3 for Shavu'ot alone - the reading for the 1st day and 2nd days and the 3rd is for maftir. This means that one of the 3 is the Torah I will be using this coming Shabbat (Nasso), and when next Shabbat comes, I have to spend time rolling that Torah. (I don't have time to roll it on Friday morning, BTW.)
My shul doesn't see the need to repair another one. (It's not the cost - they can handle the repair cost.) I'm trying to convince the shul that without the 4th there is "tircha d'tzibur" several times per year when we have such situations.
Prior to making my case, I'd like some advice or, perhaps halachic backup to my main claim that a 4th Torah is necessary to avoid tircha d'tzibbur. Has anyone else experienced this problem, and if you have, what did you do?