You haven't understood my reasoning.
Let's say you have 10k bleachers. In first scenario, you sell 4k at higher prices. In the second scenario, you sell 6k at lower prices. Naturally, you should earn more money in the second scenario? Now, I haven't seen this being explicitly confirmed anywhere, but I doubt it's otherwise.
So the calculated bottom prices are definitely going to sell out, and furthermore, some unknown higher prices are also going to sell out. That's where you just make a guess.
This should be much better than randomly dropping the prices, simply because now you have a known bottom value, so you can make a well estimated guess.