The tenth Vampire knights
Edward and Leo's relationship was a little complicated to say the least. The two of them respected each other, but Leo was not much of a speaker. Never initiating the conversation. The problem was that the two of them were in charge of not only the castle, but the whole of the tenth family as well.
Since Edward had more experiences and knew the duties of those in the castle, Edward was the one that had to try and force communication with Leo. It wasn't that Leo wasn't willing, but Edward knew that Leo was someone who was stronger than himself. In the vampire world, people respected power, and it felt strange to be ordering or commanding a vampire that had more power than him.
Wanting them to get a closer connection with the tenth family, he decided it was best if they did the same task that Quinn had been given. Delivering the supply of blood to those that lived in the inner castle area. There were only around fifty or so people so it wouldn't take too long.