Does Your production level effect the demand for your product.

[Frankschtaldt]

While I understand the question in general terms, I'm finding the example hard to follow.
Are you asking if turning down production can directly increase demand?
If so, I have noticed the same behavior but I always just assumed it was natural fluctuations. I don't think this behavior is consistent enough to definitively say there is a link.
I think to prove it you'd either need Eric's input or to spend some time performing some carefully designed tests.