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"Your Theater diverts your Population from their everyday cares and increases your city's Happiness. Happier citizens will support higher tax rates."

Level Food Wood Stone Metals Base Upgrade Time[1] Taxes +
1 112 746 373 149 1m39s +1
2 159 1,063 531 212 2m21s +3
3 227 1,516 758 303 3m21s +4
4 323 2,157 1,078 431 4m46s +5
5 460 3,070 1,535 614 6m47s +6
6 655 4,367 2,183 873 9m39s +7
7 932 6,215 3,107 1,243 13m44s +8
8 1,327 8,848 4,424 1,769 19m33s +9
9 1,888 12,589 6,294 2,517 27m49s +10
10 2,688 17,922 8,961 3,584 39m36s +11
11 3,825 25,503 12,751 5,100 56m21s +12
12 5,444 36,297 18,148 7,259 1h20m12s +13
13 7,748 51,655 25,827 10,331 1h54m8s +15
14 11,026 73,507 36,753 14,701 2h42m25s +16
15 15,691 104,607 52,303 20,921 3h51m8s +18
16 22,328 148,855 74,427 29,771 5h28m54s +19
17 31,774 211,833 105,916 42,366 7h48m3s +20
18 45,217 301,452 150,726 60,290 11h6m4s +22
19 64,347 428,984 214,492 85,796 15h47m51s +23
20[2] 91,569 610,463 305,231 122,092 22h28m50s +25
Note:
  1. Time will vary depending on Levitation research level
  2. Level 20 requires a Completion Grant


Raise taxes by X with no reduction in Happiness.

How to maximize your gold production.Edit

If we let

G = Gold Production

H = Happiness

p = Population

P = Population Limit

T = Tax Rate

t = Theater Bonus

Then we can calculate our Gold Production, Population, and Happiness with the following equations

G = (T/100)*p

p = (H/100)*P

H = 100-T+t   or   H/100 = 1-(T/100)+(t/100)

Or combined we have G = (P/10,000)*((100+t)*T-T^2)

From this we can find that our maximum gold production is when we set our tax rate equal to 50+t/2, and it will increase linearly with an increase to our population limit.  And it is important to note that if we increase our tax rate above this limit of 50+t/2 we will both decrease our gold production and our population.

If we need a higher population, to continue training, we can decrease the tax rate to raise up our population, then we can raise our tax rate back up after we started them training, because there is no problem with having a negative population other than not being able to add any more troops the queued list.