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When there is a merchant in the shop, you can operate the shop to generate dust every turn (like food, science or industry, you will see a +X under your dust). The amount of dust you gain each turn is based on the wit of your operator. I don't know the ratio, but it's something like 1 dust for 5 wit or something like that. With a good operator like Mormish or Josh, you can have +3 dust per turn easily.
Operating shop and emergency generator is the most efficient way to gain dust when you're above level 10. The shop is the best, but you have to find a merchant first.
If you place a hero with 11-20 wit - 2 dust per door and so on
Example:
An hero is operating the shop, this hero has 16 wit and you have 5 mechanical pal who give each 2.5 wit.
You end up with a total of 16+5*2.5=28.5 wit
So you gain 28.5/10=2.85 rounded up to 3 dust per turn
If you add a 6th mechanical pal, you will have a total of 31 with, which mean you will now gain 4 dust per round (31/10 rounded up).
For shop it's 0.1 dust per wit.
For food/industry/science it's 0.5 food/industry/science per wit.
For NAL module it's 0.012 (1.2% defense) per wit (0.017 at lvl 4).
For Tactical HUD it's 0.012 (1.2% attack power) per wit (0.018 at lvl 4).
For emergency module it's 0.005 (+0.5% dust from monsters) per wit.