Chaim87: Just two points.
1) There is no such thing in most Yeshivos that says that if it costs 10K to educate a child, and I give one parent a scholarshp of 3K someone else has to cover the shortfall and pay 13K. It just doesn’t happen. The reality is that there is no expectation that tuitions will cover the budget. It is not even on the executive director/Board/governing body’s Channukah wish list. There is a tuition amount that is made up either by figuring out how much you can expect the average parent to pay, and work from there, or using a number that positively the most you can expect ANYONE of your parent body to pay, and let the parents fight their way down from there. But in either case there is no max scholarships that can be given out in total.
2) With regard to Chasdei Lev and such programs, if you are going to hold that against parents and count it as income, then dont do the rabbeim any favors, all you are doing is giving them a way to have to pay more in tuitions. It is no longer a chessed/show of hakaras hatov.
Before you say that I am just someone who is a naysayer, just doesnt understand the problems that exist, I work for a Yeshiva, am grossly underpaid, did not send my daughters to seminary in Israel, and am paying almost $30,000 in tuitions. (I get no free tuitions, not even in the school that I work).
I do understand the problem, but not everything works by simple math.( see point #!- there is nothing on the other side of the equal sign).