I helped found a 501(c)(3) that among other things, helps the homeless. Was homeless myself when I was much younger.
Hygiene is a MAJOR issue. When we give out food, blankets, and other supplies, soap, deodorant, and toothpaste are the most requested items after clean socks. Being clean reduces the chance of illness or infection, removes a major obstacle to interacting with others (including finding work and services), and does absolutely unbelievable things for their mental state. Please believe me when I say that the cost/benefit here way exceeds $75k.
My only complaint is that I would have incorporated a few small, fast, clothes washer-dryer units so they could have clean clothes to change into when they got out of the showers.