If we don't feed tavern with ale and food will it affect our gold produce?

We already have an answer for a similar question which you can see here:
What will happen if I didn't supply the tavern with FOOD & Ale?

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I'm not sure if it is the tavern that effects your gold production or if it's having coal in your warehouse... but as a raider it really doesn't matter since the raider class already has a -50% gold production. The class is compesated by having the ability to raid castles for gold with it's class legion. How much you can take is dependent on your heroes, troops, research and buildings. Upgrading the Raiding Hall, research class legion/cavalry and using t1 cavalry will yield you the most. I can take 1 million per raid if it is the only thing I'm taking... 3 org. awakened heroes, lvl 21 raiding hall, t1 and 100% class legion and 70% in cav research.