Talk:Archer
From Inselkampf
The figures for efficiency of Bow upgrades use the following math. Feel free to correct me if I screwed up somehow.
N = Number of troops where cost of additional troops and cost of upgrading intersect; P1 = attack+defense before upgrade; P2 = attack+defense after upgrade; Ucost = upgrade cost; Tcost = troop cost
- P1 * (N + Ucost/Tcost) = P2 * N
- (P1 * N) + (P1 * Ucost/Tcost) = P2 * N
- P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
- P1 * Ucost/Tcost = N(P2 - P1) // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
- Thus for archers: P1 * Ucost/100 = N
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.
Archer Efficiency
The figures for efficiency of Bow upgrades use the following math. Feel free to correct me if I screwed up somehow.
N = Number of troops where cost of additional troops and cost of upgrading intersect; P1 = attack+defense before upgrade; P2 = attack+defense after upgrade; Ucost = upgrade cost; Tcost = troop cost
- P1 * (N + Ucost/Tcost) = P2 * N
- (P1 * N) + (P1 * Ucost/Tcost) = P2 * N
- P1 * Ucost/Tcost = (P2 * N) - (P1 * N)
- P1 * Ucost/Tcost = N(P2 - P1) // Because of the way we're using P2 and P1, we know that: P2 - P1 = 1
- Thus for archers: P1 * Ucost/100 = N
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.
- Please sign your posts with four tildes--DCJoeDog 20:52, 6 October 2007 (EDT)
