so this is what i found out;
without trader specialisation: 32 x 0.031= 0.992 which will be multiplied by current population in the city, i am using 14,800(which is 12,000 living places from cottage and 2,800 from architecture change). 14,800 x 0.952=14,682 gold(per hour), 14,682 x 24= 352,368 gold (per day)
with trader specialisation 1; 32 x 0.041= 1.342, 14,800 x 1.342= 19,388 gold (per hour), 19,388 x 24=465,312 gold (per day)
with trader specialisation 2: 32 x 0.051= 1.632, 14,800 x 1.632= 24,154 gold(per hour),24,154 x 24=579,696 (per day)
with trader specialisation 3: 32 x 0.061=1.952, 14,800 x 1.952= 28,890 gold(per hour), 28,890 x 24=693,360(per day)
for the big players who have study alchemy and have up to 32 orange crystal for perfecting all the trading post here is what your gold city might look like:
without trader specialisation: 32 x 0.035=1.12,14,800 x 1.12=16,576 gold(per hour), 16,576 x 24= 397,824 gold(per day)
with trader specialisation 1: 32 x 0.045=1.44,14,800 x 1.44=21,312 gold(per hour), 21,312 x 24= 511,488 gold(per day)
with trader specialisation: 32 x 0.055=1.76, 14,800 x 1.76=26,048 gold(per hour), 26,048 x 24 = 625,152 gold(per day)
with trader specialisation 3: 32 x 0.065=2.08, 14,800 x 2.08=30,784 gold(per hour), 30,784 x 24 = 738,816 gold (per day)
note: don't forget that with building perfection your output is maxed by a 100% and with 32 perfect trading post you have a 22.4% chance of getting 10,000 to 500,000 gold everyday
hope you understand my calculations

