The death penalty is tricky. On a basic level, I support it, because paying to let the dredges of society live an even remotely comfortable prison life is absurd. The remorseless murderers aren't going to turn over a new leaf and become a boon to society while serving their seven consecutive life sentences. It's only the ridiculous notion that all human lives should be weighed equally that lets these people live out long lives, even if bound within walls of concrete and iron.
On a more complex level, at least in the US, our prison and legal system as a whole is too broken. We've turned into a society that values the idea of guilty until proven innocent, leading to so many wrongful convictions based on profiling and a flawed jury standard that outside of cases of truly undeniable guilt, I can't see the death sentence as a reasonable measure. If someone is a convicted and confessed serial killer? Toss them in the chair, on the table, let the lethal chemicals flow. If someone is convicted just because, well, damn it, the jury just had to convict someone, suddenly the grounds for assigning death become shaky at best.
Of course, even then, our death penalty is laughable. We let people live for so long after being assigned the death penalty because we can't trust our own system even a little, it becomes a "when we get around to it" thing that may or may not happen within the decade.
Overall, it's just a mess. In a perfect legal system, it would be both viable and smart to have a death penalty, as it would remove those who only exist to physically and mentally destroy others. We hardly have a perfect legal system in the US though, making the death penalty a far too reactionary choice for the uninformed majority.