Well, how do you really decide what is worthy or not?
My mom had Pancriatic Cancer. Adding up the cost of all the treatment she got, the government easily spent over 50k on her treatment, when from the start they likely knew that her chances of being cured, or even living out the rest of the year, were pretty much 0.
Under strict utilitarian standards like yours, this might seem like a complete waste of money.
For us though, it was immensely valuable. It gave her an opportunity to fight, it helped give her the best possible quality of life for the time she had left, and it made sure that she could be as comfortable as possible up until the end.
If you think this is a worthwhile expenditure for our healthcare system, then you are obviously passing judgement based on more than just strict utilitarian grounds.
Exactly how big is this group?