The Affiliated Artisans button become available only if you can craft something, until I find a more interesting way to add them in game, I'll write them here:

Input = Output

1 pottery + 1 grain = 2 alcohol barrels
1 meat + 1 spice = feast modifier (+10 vassal opinion for 3 years)
4 grains = 1 meat + 1 wool + 1 hide

3 stones = 1 gem
5 stones = 1 silver
6 stones = 1 gold

2 stones = 1 statue
1 hide + 1 lumber = 2 musical instruments
1 stone + 1 lumber + 1 silver = 2 glasswares

1 gold + 1 gem = 2 jewelry boxes + some money
1 gold + 1 silver = 1 random wearable crown (require Monks and Mystics DLC)
1 gold + 1 jewelry = 1 random wearable jewelry (require Monks and Mystics DLC)

1 lumber + 1 grain + 1 meat = 1 dye
1 linen + 1 wool + 1 silk = 3 velvets
1 hide + 1 lumber = 2 furs

1 steel + 1 hide = 2 weapons and armor crates
1 steel + 1 lumber = 1 random combat weapon (require Monks and Mystics DLC)
1 steel + 1 gem = 1 random ceremonial weapon (require Monks and Mystics DLC)