Well my elementary knowledge of economics suggests that the market equilibrium price is the intersection of the supply and demand curves. There is additional demand but at a price lower than can be supplied. It is not profitable to supply housing further, and some demand is not met. This will always be the case (according to my elementary understanding of economics).
That is where socialism comes in in most countries. Since profit motive cannot solve this problem, compassion motive can. Supplying low cost housing without disrupting the rest of the real estate market is managed in a variety of fashions in different countries to greater or lesser success.