Hi everyone,
here is my testing result of the building time of the trading post.
My formula is
t = y-(y/3)*ln(x), and the other formula mentioned above is
t = y/(1+0.25*(x-1)), let's call it formula A, where
t is the total building time in second for
x villagers to build a building where it takes
y seconds for 1 villager to build. When
y is bigger, the difference between my formula and formula A is also bigger. Trading post takes 72 seconds for 1 villager to build, which is the longest. The following table is my testing data of the trading post's building time comparing with the building time that is derived from my formula and the formula A. We can immediately see the differences between my formula and formula A, my formula is more accurate.
Edit: I added the 2006-ish formula mentioned above into the table as well for comparison purposes, it's
t = y*3/(2+x).
villager count | trading post testing data | my formula | formula A | 2006-ish formula |
1 | 72 | 72.000 | 72.000 | 72.000 |
2 | 55.5 | 55.364 | 57.600 | 54.000 |
3 | 45 | 45.633 | 48.000 | 43.200 |
4 | 38 | 38.729 | 41.143 | 36.000 |
5 | 33 | 33.373 | 36.000 | 30.857 |
6 | 29 | 28.998 | 32.000 | 27.000 |
7 | 25.5 | 25.298 | 28.800 | 24.000 |
8 | 23 | 22.093 | 26.182 | 21.600 |