About one hour before roasting, remove the turkey from the refrigerator and let it stand at room temperature. Then position a rack in the lowest part of the oven and heat to 400℉.
Scatter half of the chopped vegetables in the bottom of a large roasting pan. Drizzle over the olive oil, tossing them to coat. Then place the V-rack in the pan over the vegetables. Set the turkey, breast side up, on the V-rack. Place the remaining chopped vegetables, as well as the herbs, inside the turkey cavity.
Then rub the herbed butter underneath the skin over the breasts and all over the outside top of the turkey. Tie the legs together with kitchen twine.
Place the turkey in the oven. After about 30 minutes, add the broth, stock, or white wine to the bottom of the roasting pan. Turn the heat down to 350℉.
Continue to roast the turkey until an instant-read thermometer inserted into the thickest part of the thigh registers 170℉. (Roasting will take about 2½ to 3 hours total for a 12 pound bird.) Be sure to check the bottom of the pan periodically as the turkey roasts to make sure the vegetables and the drippings are browning, but not burning. If the bottom of the pan dries out, just add a bit more liquid.
Transfer the turkey to a carving board or serving platter, setting aside the roasting pan with the drippings for the gravy. Tent with foil, and let the turkey rest for 45 minutes to an hour before carving. In the meantime, prepare the gravy!