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| - | The figures for efficiency of Bow upgrades use the following math. Feel free to correct me if I screwed up somehow.
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| - | N = Number of troops where cost of additional troops and cost of upgrading intersect;
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| - | P1 = attack+defense before upgrade;
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| - | P2 = attack+defense after upgrade;
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| - | Ucost = upgrade cost;
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| - | Tcost = troop cost
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| - | *P1 * (N + Ucost/Tcost) = P2 * N
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| - | *(P1 * N) + (P1 * Ucost/Tcost) = P2 * N
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| - | *P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
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| - | *P1 * Ucost/Tcost = N(P2 - P1) // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
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| - | *Thus for archers: P1 * Ucost/100 = N
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| - | I specifically didn't floor or round (Ucost/100) because it seemed silly to ignore partially completed archers when they'll be completed within an hour.
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| - | == Archer Efficiency ==
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| - | The figures for efficiency of Bow upgrades use the following math. Feel free to correct me if I screwed up somehow.
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| - |
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| - | N = Number of troops where cost of additional troops and cost of upgrading intersect;
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| - | P1 = attack+defense before upgrade;
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| - | P2 = attack+defense after upgrade;
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| - | Ucost = upgrade cost;
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| - | Tcost = troop cost
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| - |
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| - | *P1 * (N + Ucost/Tcost) = P2 * N
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| - | *(P1 * N) + (P1 * Ucost/Tcost) = P2 * N
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| - | *P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
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| - | *P1 * Ucost/Tcost = N(P2 - P1) // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
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| - | *Thus for archers: P1 * Ucost/100 = N
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| - | I specifically didn't floor or round (Ucost/100) because it seemed silly to ignore partially completed archers when they'll be completed within an hour.
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| - | * Please sign your posts with four tildes--[[User:DCJoeDog|DCJoeDog]] 20:52, 6 October 2007 (EDT)
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