“There is not enough time in the day for the average person to inspect and test everything that would need to be inspected.”
If you feel safe by giving this responsibility to the government, then you are the naive person. They admit to an inspection regimen that hardly even qualifies as existing. I doubt that you have eaten a steak that was inspected ever in your life.
What they are able to do is target certain producers that fall out of favor with the local politicians and target industries that represent an opportunity to expand their beauracracy! While spending a lot on public employee benefits and pensions.
They do more than that. They may not inspect all meat, but they do survey the meat packing plants. The odds that most meat I eat was packed at a plant that has been inspected by the USDA and conforms to standards is very high.
The also, in conjunction with the CDC, track food born illnesses back to the source. A feat that would be nearly impossible without these agencies and their regulations.
The U.S. has the 3rd safest food supply of all countries behind France and Israel and frankly people have wondered how we were possibly chosen 3rd behind those two.