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Thread: How Much Is Too Much? (Favor Production)

  1. #1

    Default How Much Is Too Much? (Favor Production)

    Notes:
    - This is not a question.
    - Feel free to delete this if there is another thread with the same topic.

    As we all know, the equation for total favor production for any one god is:
    y = sqrt x
    Where
    y = Total Production
    x = Sum of the levels of all Temples worshiping said god

    And if we assume that all Temples are level 25, then we can use this equation:

    y = 5 sqrt x
    Where
    y = Total Production
    x = Number of cities worshiping said god

    We will be using the second equation.

    Here's a scenario: You want to produce 1 Manticore per day. In order to do this, you need to produce 405/24 favor per hour, or 16.875. We can use this equation to determine how many cities you need:

    16.875 = 5 sqrt x

    To get the answer, you must simplify.

    16.875 = 5 sqrt x
    3.375 = sqrt x
    x = 11.39

    You always round up, so the answer is 12 cities with level 25 Temples worshiping Zeus.

    So what if you want to produce 2 Manticores per day? We simply solve again and get the answer of 46 cities. WOW!

    This brings up the question: How much is too much? To help you decide, I've made this list. The format is
    (Cities with Temple 25 worshiping same god / Favor Production)

    1 / 5
    4 / 10
    9 / 15
    16 / 20
    25 / 25
    36 / 30
    49 / 35
    64 / 40
    81 / 45
    100 / 50

    The increase in your total favor production for a god is modeled by the equation

    y = (5 sqrt (x + 1)) - (5 sqrt x)
    Where
    y = Change
    x = Initial Amount of Cities

    Here is a list, using the format
    (Number of lvl 25 Temples worshiping > Number of Temples + 1 / Change)

    0 > 1 / 5
    1 > 2 / 2.07
    4 > 5 / 1.18
    9 > 10 / 0.811
    16 > 17 / 0.62
    25 > 26 / 0.5
    36 > 37 / 0.41
    49 > 50 / 0.36
    64 > 65 / 0.31
    81 > 82 / 0.28
    100 > 101 / 0.25
    Last edited by Milonius; 05.01.11 at 22:35.

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  2. #2
    Polemarch Skullyhoofd's Avatar
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    This applies to a speed 1 world i gues?
    I love you!

    ( ͡͡ ° ͜ʖ ͡ °):

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  3. #3
    Strategos Pythagorus's Avatar
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    Quote Originally Posted by Skullyhoofd View Post
    This applies to a speed 1 world i gues?
    yes... other worlds you multiply the equation by world speed.

    one other thing to add in is divine statues, though it won't make a huge difference to the point you're making (count as 5lvls of temple)
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  4. #4
    Hoplite andodel's Avatar
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    You can never really have enough, because by the time you are capable of making 50 favor an hour, you will need it.

  5. #5
    Hipparchus GothamSoldier's Avatar
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    What about adding in Divine Statue as a variable? It would cut the number of cities you needed to accomplish whatever goal you were pursuing.

  6. #6

    Default

    Quote Originally Posted by GothamSoldier View Post
    What about adding in Divine Statue as a variable? It would cut the number of cities you needed to accomplish whatever goal you were pursuing.
    That would change the equation from y = 5 sqrt x to y = 5.48 sqrt x.

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  7. #7
    Chiliarch The Great Toast's Avatar
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    Lol, I don't exactly understand, but I think I agree
    Im back!
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  8. #8

    Default

    Does anything happen if you have a lv 25 Temple with a Divine Statue? Does it yield over 5 favor per hour, or does the divine statue only bring up 5 levels?

  9. #9

    Default

    See Post #6

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  10. #10
    Hoplite rigger1980's Avatar
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    Good job on this, really. This is exactly what I was looking for. It may also the first practical use for algebra I've seen.

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