Efficiency calculations

Offense:

(Costs per attack points, and level 20 barracks/stable attack points production per day operating constantly.)
Imp: 600 for 70 = 8.47 rsc/off (18,655 off/day)
EI: 1410 for 120 = 11.75 rsc/off (23,258 off/day)
EC: 2170 for 180 = 12.06 rsc/off (26,165 off/day)

sw: 535 for 65 = 8.23 rsc/off (23,096 off/day)
TT: 1090 for 90 = 12.11 rsc/off (18,569 off/day)
hd: 1965 for 140 = 14.04 rsc/off (22,960 off/day)

Axe: 490 for 60 = 8.16 rsc/off (25,584 off/day)
TK: 1525 for 150 = 10.17 rsc/off (25,929 off/day)


Offense Production:
level 20 barracks:
266.5 imp/day = 159,900 rsc/day = 1666*4/hr
355.33 sw/day = 190,101 rsc/day = 1980*4/hr
426.4 axe/day = 208,934 rsc/day = 2176*4/hr

level 20 stable:
193.82 EI/day = 273,282 rsc/day = 2847*4/hr
145.36 EC/day = 315,431 rsc/day = 3286*4/hr
206.32 TT/day = 224,890 rsc/day = 2343*4/hr
164 hd/day = 322,260 rsc/day = 3357*4/hr
172.86 TK/day = 263,616 rsc/day = 2746*4/hr


Defense:

cost per defense points
ph: 315 for 40/50: 7.875 rsc/ID 6.3 rsc/CD 3.5 rsc/TD
dr: 1090 for 115/55: 9.48 rsc/ID 19.82 rsc/CD 6.41 rsc/TD
hd: 1965 for 50/165: 39.3 rsc/ID 11.91 rsc/CD 9.14 rsc/TD

leg: 440 for 35/50: 12.57 rsc/ID 8.8 rsc/CD 5.18 rsc/TD
pr: 460 for 65/35: 7.08 rsc/ID 13.14 rsc/CD 4.6 rsc/TD
EI: 1410 for 65/50: 21.69 rsc/ID 28.2 rsc/CD 12.26 rsc/TD
EC: 2170 for 80/105: 27.125 rsc/ID 20.67 rsc/CD 11.73 rsc/TD

sp: 340 for 35/60: 9.71 rsc/ID 5.67 rsc/CD 3.58 rsc/TD
pal: 1005 for 100/40: 10.05 rsc/ID 25.125 rsc/CD 7.18 rsc/TD

Defense Production:

level 20 barracks:
492 ph/day = 154,978 rsc/day = 1614*4/hr (19,680/24,600/44,280 def/day)
319.8 leg/day = 140,711 rsc/day = 1466*4/hr (11,193/15,990/27,183 def/day)
290.72 pr/day = 133,733 rsc/day = 1393*4/hr (18,897/10,175/29,072 def/day)
456.85 sp/day = 155,330 rsc/day = 1618*4/hr (15,990/27,411/43,401 def/day)

level 20 stable:
199.87 dr/day = 217,861 rsc/day = 2269*4/hr (22,985/10,993/33,978 def/day)
164 hd/day = 322,260 rsc/day = 3357*4/hr (8,200/27,060/35,260 def/day
193.82 EI/day = 273,282 rsc/day = 2847*4/hr (12,598/9,691/22,289 def/day)
145.36 EC/day = 315,431 rsc/day = 3286*4/hr (11,629/15,263/26,891 def/day)
213.2 pal/day = 214,264 rsc/day = 2232*4/hr (21,320/8,528/29,848 def/day)


Tool: 0.9^(-19) = 7.4027
(Increasing barracks/stable level will decrease production times by 10%. The new time is 90% of the old time, hence we use 0.9, and we'll need it 19 times to bring the barracks from level 1 to level 20.)
e.g., level 1 barracks produces axeman in 25 minutes:
24*60 = 1440 minutes/day, so
1440/25 = 57.6 axemen per day with level 1 barracks
57.6 * 7.4027 = 426.39552 axemen per day with level 20 barracks (7.4027 makes this calculation easy)

Conclusions:

1. Phalanx are cheap.
   
2. Seriously, dirt cheap. But spearmen aren't far behind.
   
3. Legionnaires suck in comparison. Don't bother. If you're that desperate for cavalry defense, hire a Teuton to train a thousand spears for you.
   
4. Haeduan cost twice as much as phalanx for pure cavalry defense.
   
5. Haeduan are expensive fuckers in general. They cost more than EC and produce less offense. Better defense, but not by much.
   
6. Druids are impressively cost effective infantry defense, given their speed. Again, paladins aren't far behind.
   
7. Roman cavalry have shitty defense for their cost. Defend with them at last resort only!
   
8. Teutons produce offense faster and cheaper than any other tribe.
   

Additional calculations:

EL: 360 for 20/10: 18 rsc/ID 36 rsc/CD 12 rsc/total defense point.

So, EL are actually almost as effective at defense as EI or EC (12.26 and 11.73 rsc/defense point). I guess romans should send EL for defense cavalry, since they do two jobs very well (bad defense per crop, but otherwise effective).