FACT: A good team of average people, working together, will accomplish more than a single person over the course of two months.
This is categorically false. Individual output of programmers vary by an order of magnitude (10x source). Literally one guy can be worth ten others. And this is why the "do you really need rockstars" is always a yes. Even if you are not trying to solve hard problems you can either hire 10x guys @ 50k a year or one guy at 150k a year. You make the choice.