Silly assignment 'cause it's easy to see that the sickest 4 would die first because they would not get treatment regardless of the choices made since as soon as the lawyer found out the situation he'd file an injunction stopping the entire process and if anybody tried to get around it the cop would arrest or shoot 'em.
Once the first 4 were dead nobody would object to the remaining 6 getting treatment - as long as that decision didn't require govt. approval, in which case the decision would be delayed and the lives of the remaining 6 would be threatened too, except, of course, that of the prostitute who would in the end be the one most likely to get treatment and live since she'd be able to blackmail the politicians.
I mean, jeez, keep it real people.
I must be willing to give up what I am in order to become what I will be. Albert Einstein