If the case is , as has been said, that the pinch point of the testing debacle is the test laboratories exceeding capacity, why are we not batch testing ?
It seems to be a widely accepted technique . In cases of low positive results , just batch ten or twenty samples and test as one . If negative great , if positive you go back and test each individual sample .
Makes perfect sense
You could even have two streams " do you think you have symptoms and have the virus " and " don't think I have virus but need a test because .." to really amplify chances of all samples being negative
www.scientificamerican.com/article/coronavirus-test-shortages-trigger-a-new-strategy-group-screening2/