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Just to check if I got it right, or am totally wrong here:
4th lvl PC with Crafter's workshop starts crafting (trained) Lesser Frost vial (DC15), and gets a 25 on the cracting check.
This would be a critical success, thus each day reduce the required amount by 9sp per day and finish crafting of 4 vials in 7 days.
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Ok, I'm going to be "that guy".
First-level PC wants to craft 4 bottled lightings. Rolls 27 for downtime check. PC is field commissioned and has 12 downtime days.
This says I don't save any $, but that crafting (first row) is 3sp/day and earned income is 2sp/day on a critical. And why would a success save me 1 gp while a crit does not save me anything?
I don't follow.
Venture-Lieutenant, Finland—Turku
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Ok, I'm going to be "that guy".
First-level PC wants to craft 4 bottled lightings. Rolls 27 for downtime check. PC is field commissioned and has 12 downtime days.This says I don't save any $, but that crafting (first row) is 3sp/day and earned income is 2sp/day on a critical. And why would a success save me 1 gp while a crit does not save me anything?
I don't follow.
Because your example is at a point where you're getting less benefit from crit on a crafting than you are getting from a crit on an earn income.
Earn income is rolled at character level -2, minimum 0. Your earn income check should thus be at -1, but the chart only goes to 0, so you're rolling earn income at 0.
Crafting check is made at your level. Your level is 1. Difference between your crafting task level and earn income level is just 1, when normally it's 2.
Checking the earn income chart you can see that task level 0 earns 0.05gp on a check, while task level 1 earns 0.2gp per day. Here's thus a difference of 0.15sp between daily earnings for a normal success on earn income vs crafting.
Crit boosts the earn income check from level 0 to level 1, quadrupling what you make per day (from 0.05 to 0.2), while crit success on crafting bumps your earnings per day from 0.2 to 0.3 - the difference between crit successes is smaller than the difference between regular successes.
The calculater makes a comparison between what you'd make crafting versus what you'd make earning, not between what you'd earn on success vs what you'd earn on a crit. If you check the "balance" column in your example at 12 days, you'll notice that for a crit success your balance is 3,6gp (meaning that you need to spend 3,6gp to finish the crafting (or continue it after the next adventure)) while on a success the balance is 4,4, meaning you need to spend 4,4gp to finish... So a crit success -did- earn you more gp: It earned you 0,8gp more than regular success. It's just that you would have earned just as much gold (2,4gp) on a crit success (8x0.3 = 2,4gp) for crafting as you would have for earn income (12x0.2 = 2,4)... And this only happens at level 1.
Later, crafting will always* be more profitable than earn income, because crafting allows you to roll vs a lower DC (because DC is determined by the item level, which can be very low) while earning more (because earnings per day is based on your level, not item level) while earn income will "always" be more difficult (because DC is based on your level -2) while earning less (because earnings per day is also based on your level -2).
*Assuming you pick at least 2 levels lower level items instead of attempting to craft at level items, in which case the math is a bit more complicated because DC is higher than earn income DC