Talk:Efficiency of Weapons Research

From Inselkampf

I've added some discussion of the efficiency of building more troop vs. upgrading existing troops. Feel free to correct me if I screwed up somehow. Here's my math.

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 // Ucost/Tcost giving us the equivalent number of troops to the price of the upgrade
   * (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 spearfighters: P1 * Ucost/80 = N;  and for archers: P1*Ucost/100 = N

I specifically didn't floor or round (Ucost/Tcost) because it seemed silly to ignore partially completed spears when they'll be completed within the hour.

Also, I'm working under the assumption that the total attack + defense values are what really determine combat performance, and that the two types of spearfighter upgrades are therefore basically equivalent, except for their cost. This seems to be supported by all the information I've seen, but if you feel thats incorrect, feel free to modify this.Headphones 18:51, 9 October 2007 (EDT)