Production has a different meaning in publishing than in movies, which is what I think you're referring to.
In print, production is the act of taking the raw inputs (copy, graphics, layout) and getting it out the door. E.g., the print production managers I know manage the physical details of the print medium. There is a similar meaning in advertising. [1]
Looking at the resumes of the first couple producers, one's a designer, the other lists himself as "Nerd". So I think they are using the meaning from publishing: people who produce the final product.
In print, production is the act of taking the raw inputs (copy, graphics, layout) and getting it out the door. E.g., the print production managers I know manage the physical details of the print medium. There is a similar meaning in advertising. [1]
Looking at the resumes of the first couple producers, one's a designer, the other lists himself as "Nerd". So I think they are using the meaning from publishing: people who produce the final product.
[1] http://en.wikipedia.org/wiki/Advertising_agency#Production