Why would you build low income housing that excludes people in the middle? All low income housing does is creates two tiers of housing prices and if you are at

Why would you build low income housing that excludes people in the middle? All low income housing does is creates two tiers of housing prices and if you are at the low end of the income scale and do not qualify for the low income housing, you are even more screwed than you otherwise would be. The solution is to build more housing that lowers everyone's rent.