The skill to product quality

Is there a secret mathematical equation that explains the connection between Programmers skill Programmer Dedication and the quality of the product?
Tom Hollander has pointed out an interesting differance between quality companies and their dedicated skilledprogrammers.
but is it really the case?
Is the teams dedication prophesize the quality?
But is it only for a product oriented company like microsoft or checkpoint?
what about service oriented companies? do they need to have the most competant programmersin the market?
I belive that they dont need them. to cut costs you can take the avarage programmer and make it work.
they are more then capabel to suplly their customers needs in a decent time frame.
It might be that the companies that manufactured the products in wich the mideoker programmers work with.

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