I'm not entirely sure what "net producer of goods and services" actually means but, if it refers to an organization converting various inputs (raw materials, skilled labor and equipment are the ones normally referred to in classical economics) to a consumable product, than the federal government certainly is one.

For example, it produces health care - for all the inadequacy of its funding and the resulting inability to do everything it would like to do, the Department of Veterans Affairs manages a medical care system that is both high quality and cost effective. And no, I'm not going to argue the point; look it up if you'd like, and I'd suggest starting with the Joint Commission for the Accreditation of Healthcare Organizations.