Start with a whole chicken. Remove the nasty parts, including extra fat. Leave the skin on. Rinse and pat dry.
Chop: 1 onion, 4 stalks of celery, 4 carrots, and 2 leeks (using mostly the white parts and not too much of the greens).
Use a 5 quart pot (or larger). Heat 2 tablespoons of good quality olive oil.