is there anyway to see a breakdown of expense and profit in the game between each character
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Not in any concise way that I can think of offhand
There aren't any passive gold expenses I can think of, so that just leaves how productive they are and how much they eat.
Productivity can be measured as follows:
- While selecting jobs the number next to the character indicates how many of the selected resource that character can collect in an entire day, or how many units of production they provide towards a production task (smithing, alchemy, etc.) over an entire day.
- for production tasks each recipe/upgrade costs a certain amount of production per item, making steel for example costs 0.3 per recipe.
- So for crafting yields you have to do some maths, say your smith provides 50 smithing progress per day, and you have him set to make an endless supply of steel, 50 progress divided by 0.3 progress per recipe is 166.666... steel recipes per day. as that makes 2 per recipe you would gain 333.333... steel per day while consuming 333.333... iron, and 166.666... rough wood
As for how much you characters eat all I know is that it shows individual consumption on their Character Info page Training and Rules tab bottom right of the food section. You would have to add them all up to get a total daily consumption rate.