Suppose it costs -- and I am making this up -- $10 to produce the first 1000 units, but only $1 after that.
Suppose people are charging a lot of money, say $50 for a unit.
Won't you increase production to try to capture that demand.
After that, because you have increased production you enjoy economies of scale, and the price comes down.
If you are the only producer, you have no incentive to come down, but if there are other producers you will want to undercut them. In this case, you will bring down your price to gain more market share.
Please help us understand what we are missing with your shrewd understanding of supply and demand curves.