[status_quo69]

We already have decent (not always great but decent enough) government provided healthcare for the elderly through Medicare. So in fact, we've completely avoided your example already and said "yep, all life has value if you're eligible for medicare".

Of course resources are finite, nobody ever argues that they're infinite. But we treat healthcare as if there's a constant scarcity of medicine with how much is charged because there's a constant urge to squeeze even more profits out of patients who probably have only 2 choices- pay for the medicine or die.