It doesn't add up. Billy T has backed himself into a corner and neither one of you can see it. It's circular logic: You get the same amount of food so stop producing enough food to sustain yourselves? How does that make sense?
If you are the only person working the farm, then you produce the food to sustain yourself. If you don't work you don't get fed; if you do work, you do get fed. That's a good incentive to work.
If you are one of two people working the farm, then you do half the work to produce the food to sustain yourself. If you don't work you don't get fed, or only get half the food you would otherwise; if you do work, you do get fed. That's still a reasonably good incentive to work.
If you are one of ten people working the farm, then you produce a noticeable fraction of the food to sustain yourself. If you don't work (or barely work) you still get fed; if you do work you get a little more. This is not as strong an incentive, and indeed a lazy person might be tempted to sleep all day and get 90% of the food they would otherwise get. But most people will work to feed themselves, because through their efforts they get a little more.
If you are one of a thousand people working the farm, then your efforts are basically trivial compared to what you receive. If you work hard you get 100% of the food you are entitled to. If you don't work (or do the absolute minimum) you get 99.99% of the food you otherwise would; a unnoticeable amount different. Thus many people are going to look at that tradeoff and say "I can work my ass off and get fed, or not work my ass off and get fed basically the same amount." And history has shown that most people do, in fact, take that route.
That's why collectivism works on a small scale but fails on a large scale.
Again, check out the Tragedy of the Commons. In an ideal world, everyone would cooperate so the commons could carry as much livestock as possible without being ruined. In the real world, people use it up because it's easier, and then they let someone else do the work of repairing it (or suffer the loss of it.)
A milder form of that under Capitalism would be "I don't get paid enough so I'll do as little work as possible and get myself fired."
Exactly! They are then fired. And after not being able to buy food for a while, they're going to say "OK fine I'll get a job and work a little harder." And they then work as hard as they have to to keep the job. If they want to make more money, they have to show up on time, work overtime, impress the boss, come up with innovations etc - the kind of things that get you raises. But if they don't want that they are free to work as little as they want, as long as they are happy with receiving a commensurately smaller share of goods and services.
If the fear of being fired or getting less money can make a person work, how is it the fear of starvation wouldn't make the Ukrainian's under Stalin do better work?
Because IT DOESN'T MATTER if you work hard on a farm with 10,000 other people, if you are the only person working. You still starve. You are far, far better off working on the black market, because you then keep what you earn and can use that to keep yourself alive.
If the collective energy input is higher, the distribution output to the each of the collective will be higher.
It will not be a noticeable amount higher once the collective reaches a certain size.
I have said from the beginning, any cooperative resource management system has to be populated by only willing participants.
If you have that AND you keep the groups small AND you come up with a substitute for money, then collectivism can work. Twin Oaks has been working for decades, for example, because they are small, fully voluntary and have labor credits. As a great many examples demonstrate, though, you cannot scale that up.