I've never put myself as trying to have an impact on the commercial chicken industry. That is not one of my claims.
Try changing three of your assumptions and rerun the numbers.
1) Eat your pullets
2) Use an incubator to hatch them and brood them yourself.
3) My broody hens typically raise 8 to 9 per hatch. Some more, some less, but if you use an incubator you don't need broody hens at all.
My typical laying breeding flock is one rooster and 6 to 8 hens. We eat about 45 chickens a year, one a week except when we are eating somewhere else on Thursdays, our first chicken night. The leftovers from Thursday go into soup on Saturday if it is a pullet. If it's a cockerel I get an additional lunch or two out of it. I hatch about half of these with my incubator and used broody hens to hatch and raise the rest.
Shadrach I didn't even notice it was you until I went back to quote the OP. I'm a retired engineer and worked with numbers and assumptions all my working life. So I'll rerun some numbers with different assumptions. Assumptions I find pretty reasonable. I'll use your 208 chickens a year.
Assume one hen lays 150 eggs or year. Many exceed this, especially production breeds. Use incubators and set a new brood every week. A week is a good storage length for hatching eggs. Using one incubator to incubate and one as a hatcher you could achieve this with just two incubators. Some people on this forum do that with two incubators, set eggs every week. The limitation would be brooders. Assume a 70% hatch rate for incubated eggs and raising them to butcher age. Many people exceed 70% on average. I do. 70% of 150 eggs equals 105 chicks a year.
So two hens and one rooster could give you over 208 chickens a year.
That shows the power of assumptions and why I'm really skeptical of advertisements I see and political claims I hear. Just by changing the assumptions you can make many numbers say what you want them to.
Thank you! You said it better than I could have. As soon as I read the OP I thought, 100 broody hens??!
I also want to agree with other posters who mentioned raising other animals for meat as well. That's our goal.. No where near close to it yet. Maybe next year, right now we are just getting eggs and giving away our cockerels to a woman who butchers them and feeds her family. She gave me some homemade wine as a thank you last week.
We are also hoping to use a barter system with some of our neighbours. Maybe they raise pigs and we aren't set up for it, but could trade them half a steer (for example) in exchange for pork. There are many ways to try and be more sustainable.
I also think it's important to realize that while we may never change factory farming, every little bit DOES count. The animals you (general you) choose to raise and treat kindly and feed well affects those animals. They have a much better life than the ones that are mass produced. It also affects what you end up putting into your body, or into your kids' mouths. You can control what the animals eat and take pride in knowing that they lived a good life and are free of any hormones/additives/byproducts/what have you.
Our ultimate goal as a family is to raise as much of our food AS POSSIBLE (meat, dairy, produce) on our "homestead". I don't think anyone should be made to feel badly or that they aren't making a difference by doing that.