29-Mar-2008 21:40:28 Quality: 0.

To become completely self-sufficient, a WF country must have iron mines and WFs in a ratio that produces the same steel per territory per turn.

Let W be the fraction of WFs and let (1-W) be the fraction of mines.

a) With maxed profile/discos for WF but minimum profile/discos for mines:
33.58*W*(3/7*W+4/7) = 86.25*(1-W)*(3/7*(1-W)+4/7)
33.58*W*(3/7*W+4/7) = 86.25*(1-W)*(3/7-3/7W+4/7)
33.58*W*(3/7*W+4/7) = 86.25*(1-W)*(1-3/7W)
(33.58)(3/7W^2 + 4/7W) = (86.25)(1 -3/7W - W + 3/7W^2)
14.391W^2 + 19.189W = 86.250 - 36.964W - 86.250 W + 36.964W^2
22.573W^2 - 142.403W + 86.250 = 0
W = 0.6787

So to be self-sufficient with maxed profile/discos for WF and minimum profile/discos for iron mines, your country needs:

68% WFs, 32% iron mines

In this case, there is a 14% production penalty for your WFs, and a 31% production penalty for your Iron mines.

b) With maxed profile/discos for WF, minimum profile for mines, max discos for mines:

33.58*W*(3/7*W+4/7) = 172.5*(1-W)*(3/7*(1-W)+4/7)
33.58*W*(3/7*W+4/7) = 172.5*(1-W)*(3/7-3/7W+4/7)
33.58*W*(3/7*W+4/7) = 172.5*(1-W)*(1-3/7W)
(33.58)(3/7W^2 + 4/7W) = (172.5)(1 -3/7W - W + 3/7W^2)
14.391W^2 + 19.189W = 172.5 - 73.929W - 172.5 W + 73.929W^2
59.538W^2 - 265.618W + 172.5 = 0
W = 0.7889

So to be self-sufficient with maxed profile/discos for WF and minimum profile but maximum discos for iron mines, your country needs:

79% WFs, 21% iron mines

In this case, there is a 9% production penalty for your WFs, and a 34% production penalty for your Iron mines.

[ -- Message edited on: 29-Mar-2008 21:43:02 by HY7 (#6231) -- ]

9-Apr-2008 13:50:46 Quality: 0.

El Ché
[-TT-]

9-Apr-2008 14:02:16 Quality: 0.

Graduated ICT-Administrator (2007)

Nothing is impossible, you just have to try harder !!!

9-Apr-2008 23:39:41 Quality: 0.

In process of making history
e-mail/msn s1gn@hotmail.com

2-Feb-2010 18:51:01 Quality: 0.

if you got 20% iron mines in your country you still need the discos for 100% land. so its basicaly 5 times more expencive to mix the production of your mines compared to a full steeler.

2-Feb-2010 19:01:47 Quality: 0.

buy my steel, you don't need to mix

"In Oceania at the present day, Science, in the old sense, has almost ceased to exist. In Newspeak there is no word for 'Science.' The empirical method of thought, on which all the scientific achievements of the past were founded, is opposed to the most fundamental principles of Ingsoc."
- George Orwell, 1984, Book 1, Chapter 9

2-Feb-2010 19:11:13 Quality: 0.

"In Oceania at the present day, Science, in the old sense, has almost ceased to exist. In Newspeak there is no word for 'Science.' The empirical method of thought, on which all the scientific achievements of the past were founded, is opposed to the most fundamental principles of Ingsoc."
- George Orwell, 1984, Book 1, Chapter 9

[ -- Message edited on: 2-Feb-2010 20:42:24 by master of disaster (#15067) -- ]