Heat a large skillet over medium-high heat. Add the oil and butter.
Rub the pork chops with a generous amount of salt and pepper.
Once the skillet is hot, add the pork, garlic, and fresh rosemary, and sear the chops on each side for 1 to 2 minutes, or just until browned.
Pour the juice/cider and the honey in the skillet, and simmer for a minute.
Transfer the pork chops and juices to a roasting pan, and add the chopped vegetables and sliced apples. Toss to coat everything in the pan juices.
Roast for 20 to 25 minutes, or until the pork is done, and veggies are tender. Pork is done when internal temperature registers at 145˚F. Do not cook longer than that or you'll end up with dry chops.If the pork chops cook up faster than the veggies, simply take out the pork chops, transfer to a plate, and keep covered while the veggies continue to cook.
Serve.
Notes
You can use whatever vegetables you like.
As the dish roasts, the juices will reduce. The reduced juices can be drizzled over the vegetables before serving.