By your rationale, I suppose I could have a position as my personal assistant, where the assistant runs all of my errands and takes all my calls and drives me everywhere…all for $30 per month.

The only thing that would potentially stop you from doing that is that it may end up being less than minimum wage, depending on the hours.

I’m willing to wait as long as it takes to find the right person for this exciting opportunity

Sure, why not? If you are selling a product at a higher price than every other store around you, given enough time, you will eventually find a sucker oblivious enough or lazy enough or stupid enough to buy it despite its high price.

by your theory, because the position exists, then someone out there is willing to work for that wage!

It's not really a "theory". I'm just saying that given a large enough sample size, it seems statistically probable that you will eventually find someone who will take the job, even if only for a short period. That isn't to say that it will necessarily be sustainable, or that the amount of time required to get an employee is within one's lifetime, but to say that it would never happen seems baseless — it's kind of like the Infinite Monkey Theorem.