Finance center diminishing returns

[MrLobster]

A lovely simple formula to get diminishing returns on the next finance center you build, so you can remove the 60 cap limit, but still have the problem resolved about too many FC being used.

( Input * Cap ) / ( Input + Cap )

Input - Total % extra you would get normally, e.g. Input = 40 FC * 0.5% = 20%

Cap - The maximum you want the Input to give diminishing returns.

So a few examples.

Example 1:

20 FC = 10% (current)
50% max (cap)

(10 * 50) / (10 + 50)
(500 / 60)
= 8.3% New Total Bonus

So what was once 20FC giving 10% bonus, now gives 8.3% bonus.

Example 2:

So lets try 60FC

60 FC = 30%
50% max (cap)

(30 * 50) / (30 + 50)
(1500 / 80)
= 18.75% New Total Bonus

So what was once 60FC giving 30% bonus, now gives 15% bonus.

So now every new FC gives less bonus than the previous one.

A quick look at varying amounts of FC's based on the dimi formula

10FC = 4.5% Bonus
20FC = 8.3% Bonus
30FC = 11.5% Bonus
40FC = 14.2% Bonus
50FC = 11.6% Bonus
60FC = 18.7% Bonus
70FC = 20.5% Bonus
80FC = 22.2% Bonus
90FC = 23.6% Bonus
100FC = 25% Bonus

So at 100FC currently you would get 50% bonus, but with dimi you get 25%.