Homemade Chicken & Dumplings would be way under $15!
Take 1 chicken, bone in and skin on (cut up is fine, but you've got to keep the bones and skin to get the broth right, or you can "cheat" like I do and use boullion cubes with skinned and de-boned chicken). Boil the chicken in about 8 cups of water (or water with boullion) and seasonings (I usually use poultry seasoning, onion powder, garlic salt, and celery salt) until the chicken is cooked through, about 20 minutes. Remove chicken and cool, then cut into bit-sized pieces. Add chicken back to broth, along with any vegetables you want - carrots, potatoes, celery, all sliced. Bring back to a medium boil/hard simmer (you may need to add more water at this point because of how much is steamed away and absorbed by the chicken). Then prepare your dumplings:
1-1/2 cups flour
Salt to taste
Mix those together to form a stiff dough. You can either just drop small bite-sized glops of it, roll it into small balls, or roll it out and cut into 1" x 1" squares. Add dumplings to soup. The dumplings will sink to the bottom, when they float they are done.
Serve when the dumplings and vegetables are all done.
This is a rather time consuming recipe, but it can certainly be done on the cheap, and you obviously don't have to sit and watch it the whole time either.