I've raised many a Dachshund and I can tell you they live the longest and most problem free lives when they are kept skinny as whips. The last one I had by the name of Tobias was just muscle and bone and lived 18 years. Cut back on that little Zeppelin's feed! Yes, I know they are hoovers of epic proportions!
Strangest damned little hounds, most people laugh when you tell them they are superb hunters and trackers. They can find a deer in the densest of forest and can move in the brush where other dogs get hung up. I own Heelers now, they're a whole different story. But I still like weeener dogs.