Why is the actual volume of material pulled out of the ground relevant?
What you need to know is how much useful (refined) adamantine the mine is producing each week.
Step1: Hire lots of people with the 'Profession(Miner)' skill.
->Assuming each miner performs a 'Take 10' each week, they'll
mine (5 + 1/2 Skill Bonus) GP worth of adamantine ore each week.
Step2: Hire lots of people with the 'Craft(Metalworking)' skill to refine.
->Have the crafters use the xGP worth of ore produced in Step1 as
the raw materials to produce 3xGP worth of refined adamantine bars.
Assuming that refining adamantine is DC20, a crafter with +10 to Craft
can refine 13.3GP worth of ore into 40GP of refined adamantine each week.
The volume/weight of 40gp worth of adamantine is not relevant.
What's relevant is that it takes 1000gp of adamantine to make a weapon
or 5000gp worth to make Plate mail. (working downward from the market
price modifier)
This has the side-effect of making mining realistically slow, painful and low-profit-margin.
What you need to know is how much useful (refined) adamantine the mine is producing each week.
Step1: Hire lots of people with the 'Profession(Miner)' skill.
->Assuming each miner performs a 'Take 10' each week, they'll
mine (5 + 1/2 Skill Bonus) GP worth of adamantine ore each week.
Step2: Hire lots of people with the 'Craft(Metalworking)' skill to refine.
->Have the crafters use the xGP worth of ore produced in Step1 as
the raw materials to produce 3xGP worth of refined adamantine bars.
Assuming that refining adamantine is DC20, a crafter with +10 to Craft
can refine 13.3GP worth of ore into 40GP of refined adamantine each week.
The volume/weight of 40gp worth of adamantine is not relevant.
What's relevant is that it takes 1000gp of adamantine to make a weapon
or 5000gp worth to make Plate mail. (working downward from the market
price modifier)
This has the side-effect of making mining realistically slow, painful and low-profit-margin.

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