oops good catch.
Bad solates bad, no donut for me
At 1/3rd then thats even better(5,000) at say 100 per week is only 50 weeks less than a year, this is assuming averages, and some buffs could shorten this time by say another 20 weeks(int buff would give an average boost of +2 or an actual headband of intellect +6 would give +3 to the check, if you were a dwarf it would gain another +2 for 5 total)
at a base skill of 18 + 5(int) + 2(dwarf) + 2(skill focus armorsmithing) = 27 + masterwork armorsmithing set(2) for 29 baseline check.
Increase the dc to 30, your average check would be 37 so 37x30 for 1110 or 111 gp per week. This would be 45 weeks then.
I would note that a lvl 20 expert or pc could do this marginally faster but by much.
I also point out that items that give increases to skill checks are really cheap. A headband of intellect +6(36,000) and another misc magic item that gave a + 20 to armorsmithing checks(2000 gp) would make this somewhat different.
In that case it would be baseline 36(lvl 20 with 23 ranks in armorsmithing) + 20 for 56 total.
That means if you raised the dc to 50 x your average roll of 66 = 3300 or 330 gp per week making this task take a grand total of...15 weeks or 3 months 2 weeks on a normal calender.
And the cost for the items(38,000 gp total) would be recompensed within the first 4 sets of armor(or 1 year). Which in terms of cashflow and overhead works fine for the npcs or pcs.
Also...lets just check something that costs 1000(full plate armor) the above person could finish a set of full plate in 1 week. If he had a buyer he could make an easy 500gp a week just armorsmithing. OR 28,000gp a year. A set of masterwork full plate would take him the same approx time(1 week) and he would clear about 600gp a week.
Solates