I've spent hours and hours trying to figure this out, with no luck. I'd
be PROFOUNDLY grateful if anybody can help.
You have several cities, say 10, requesting various amounts of funding.
You, the fund source, have a total of $1,500,000 in funds to give them.
However, the total amount they're all requesting is, say, $1,655,502.
You don't have enough; you only have $1,500,000.
1,500,000/1,655,502 = .9061.
So, you grant EACH city 90.61% of what it requested, and all the grants
total up to $1,500,000.
No problem with that one, you can throw up a little spreadsheet in a
few seconds. But here's the twist:
You want to do it PROGRESSIVELY, where the city with the smallest
request will always get the highest percentage of its request, and the
city with the largest request will get the lowest percentage. I'm
trying to come up with a way of distributing the imaginary funds so
that the large requestors won't suck up all the money. Sort of like tax
brackets...
It has to be computed precisely by the exact amount they're requesting.
Perhaps some kind of grouping is a possibility.
There's also the issue of deciding how far to range the grants. For
example, instead of everybody getting 90.61%, they could get from 95%
to 85%. Or 100% to 70%. Or..... ??
I've been trying to come up with a formula for this - it'd just be
another column on the spreadsheet - but can't for the LIFE of me figure
out a way to approach it. Can anybody help?
Many thanks
Ron M.
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