Yes, they are an absurd set of assumptions.

I told you what the requirement was. Money. You have simply arbitrarily decided instead it's just people for no reason at all. As though magically people will spawn resources from their finger tips. According to you the richest countries in the world must be the most populous.

Obviously this is idiotic to even a cursory examination.

The next assumption you've made is that birth rate is completely random, a roll of the dice, an unchangeable fact of the universe. The reality is of course it's a result of policy and economics. This can be solved extremely easily.