Assuming:
110% BE
12 peasants per acre at 1200 acres = 14400 peasants
30% income sci
10000 troops

38% banks vs 30% banks 8% arms

30% banks: 360
38% banks: 456

Raw Income (30% banks): 14400*2 + 360*25*1.1 = 38700
Raw Income (38% banks): 14400*2 + 456*25*1.1 = 41340

Bank bonus (30% banks): .3 * 1.1 * .7 = 23.1%
Bank bonus (38% banks): .38 * 1.1 * .62 = 25% (capped)

Mod Income (30% banks): 38700 * 1.3(human) *1.3(sci) *1.231(banks) * 1.04(baron) = 83731
Mod Income (38% banks): 41340 * 1.3 * 1.3 * 1.25 * 1.04(baron) = 90823

Wages (0 armouries): 10000*.5*.85(inspire army)=4250
Wages (8% armouries): 10000*.5*.85(ia)*.84arms)=3570

Total income(0 arms): 86573
Total income(8 arms): 80161

Cost per elite (0 arms): 900gc
Cost per elite (8 arms): 900 * .88 = 792

Time to train 6500 elites(0 arms): 6500*900/86573 = 68h
Time to train 6500 elites(8 arms): 6500*792/80161 = 64h

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Assuming:
25% income sci, 15% pop sci, 10% BE sci
105% BE
50% peasants = 0.5 * 1200 * 25 * 1.15 = 17250 peasants
10,000 elites to convert

30% banks = 360
38% banks = 456

training costs (8% armouries) = 0.89 * 900 * 10,000 = 8,010,000
training costs (0% armouries) = 900 * 10,000 = 9,000,000
990,000gc saved

time taken to train elites = 8,010,000 / [(17,250 * 2 + 9000) * 1.231 * 1.25 ] = 119 hrs

mod income (30% banks) = 1.231 * 1.25 * (17,250 * 2 + 9000) = 66,935
mod income (38% banks) = 1.26 * 1.25 * (17,250 * 2 + 11,400) = 72,292
money from banks lost = (72,292 - 66,935) * 119 = 637,483

total savings = 300,000~