The service guy showed up around ten minutes past 4 this afternoon, and after some quick maintenance and looking at the problem, told me that he needed to replace a valve. He told me that he didn't have it with him, but that he'd go and get the valve in question, and come back to take care of it. Well, the dishwasher works fine now, and it only cost me a grand total of $90 to get it repaired.
Now that the repairs to the dishwasher are done, I can deal with personal stuff for the evening.