[DocTomoe]

Your reasoning in itself is faulty: It pitches perceived good for one group ("young black women in Chicago") against perceived good of another group ("wheelchair users").

Let's for a moment disregard that there are a lot more wheelchair users than young black women in Chicago, and that the wheelchair users obviously are a lot more disadvantaged - a government is not a business. Its goal is not necessarily to use money "ideally beneficial" in a utilitarian way - its goal is to keep a society working, which in our liberal democracy environment means protecting the weak and keeping things relatively fair (in the sense: to help those who cannot help themselves).

While every young black woman from Chicago can stay in school, attend night school, or spend time in a library, not even the most athletic wheelchair-user can consistently hop their wheelchair (plus body-weight) up the stairs. And even if every single black young Chicago-woman becomes a new entrepreneur, resulting in a larger net-good for society as a whole, the wheelchair-user still would have the same problem.