I am dealing with a frustrating person at work. We have a person in the office whose job responsibilities include task X (which takes no more than 5-10 minutes). Whenever I ask him to perform this task, he takes several days to do it. My ability to do my work depends on his timely completion of task X. I have to remind him several times before he actually gets it done. He is not that busy - I see him constantly surfing the internet and eating in front of his computer at times other than lunch. Once he completes the task, he often gets it wrong. To try to correct the problem, I have started emailing him all my requests in addition to asking verbally. He still manages to get it wrong. This is baffling to me because I never ask for more than 5 simple items at a time. This is clerical work that an untrained person could do, so it's a matter of carelessness rather than lack of skill. I would love to do task X myself, but he is the only one who is licensed to do this by the boss.
Finally, when he orders tests he doesn't follow up on them till they are complete. I asked him three times this week to follow up on a particular test that was delayed. He never did that, and he eventually just gave me the order number, and I had to call the company. They wanted information that I don't have access to, so it fell back to him anyways. It's really his job to check on orders if they are not fulfilled in a timely manner. His behavior wastes my time and causes delays that impact my work in a negative way. I am also losing my patience with him. He constantly loses things, and I then have to waste my time looking for them because I need them to do my work. He is also constantly late completing tasks that the boss has asked him to do. I need these tasks done by a certain time, but for some reason he constantly assumes that it's ok for him to do them whenever. The boss doesn't care, as I end up staying late to get my work done, and it doesn't affect her.
I have tried copying the boss on email communications regarding some of these issues, and how the delay would impact the work that I am paid to do. The boss just replied asking the other employee to sort it out. So she apparently does not care much about this issue. How should I proceed? Getting this person to perform simple tasks has become a nuisance, and the boss doesn't seem to care. It seems that I am the only one aggravated by this. What should I do?
ETA: I really want to meet with the boss one on one to discuss all my issues with this person. But I'm not sure if this will be productive, since the boss doesn't seem to care about anything as long as it doesn't directly affect her. She seems to want to not ruffle feathers, and has a "sort it out yourselves" attitude.