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Incidentally, income is calculated after blood hunting and before patrolling, so there is a certain invisible impact on your economy, leaving you with less gold in the treasury than subtracting your upkeep from your income would suggest.
Thus usual advice I see (and give) is that you shouldn't have more than eight B1 hunters with Sanguine Dousing Rods in a province.
The way it works is that each blood hunter has to succeed on three checks to gain blood slaves. First is based on their skill (B1 is 50%, B2 or B1 with a Sanguine Dousing Rod is 90%, B3 or higher is 100%), second on province unrest (chance of failure is unrest/4 so at 100 unrest there's a 25% chance to fail) and thirdly on province population - for which I don't remember the formula, but it's in the manual somewhere. At 5000 population or more the third check has a success rate of 100% which is why you see it mentioned so often as the break point for bloodhunting. In practice you usually want a bit more than that 'cause blood hunting does make the population go down, and patrolling the unrest away makes it go away significantly faster.
Depending on the point of the game and your research, blood slaves from a province can be worth more than your lost income from a standpoint of which helps you more, money or more Storm Demons.