Consider the "Matrix Regurgitated: Coming Only To Cinemas" market:
Buyers. People who would potentially be willing to spend money to watch a 4th Matrix film in cinemas, if ever such a film were released.
Sellers. Warner Brothers (or whoever owns the rights to these films).
Lets make the simplifying assumption that this film will cost exactly 500 million dollars to make.
Assume the demand curve looks something like this:
Okay, now lets think about supply. Let $p$ denote very high price; say, $\$30$ per ticket. Assume, in particular, that $p$ is far toward the right-hand-side of our graphs, where the quantity demanded is very low. Then if tickets are sold at price $p$, quantity demanded will be very low, so revenue from the film will be very low, so it won't be worth spending the 500 million to make the movie, so quantity supplied will be exactly $0$ units.
Now consider a demand-side shift. Perhaps some well-known film critic publishes her paradigm-shattering thesis on why the Matrix Sequels were, in point of fact, the best sequels of all time. This causes the demand curve to shift up:
Once again, let $p$ denote very high price; say, $\$30$ per ticket. Then if tickets are sold at price $p$, quantity demanded will still be pretty high (because the whole curve has shifted up), so revenue will be pretty high, maybe revenue will equal one billion dollars, so therefore it probably makes sense to spend the initial 500 million to make the movie, so quantity supplied will be strictly more than $0$ units.
This is kind of weird, right? Its as if every time demand changes, we have to change the supply curve, too. Looking at it another way, supply isn't purely a function of price-per-unit; its also a function of the demand curve.
Question. What tools are available to help think about situations like this, where the supply curve is clearly a function of the demand curve?