To solve this logical reasoning problem, we need to analyze the information given and draw a valid conclusion. The premises are: 1) No national productivity measures exist for underground industries that remain unreported. 2) Some industries run entirely by self-employed industrialists are included in national productivity measures. Let's break this down to reach a conclusion:
- Premise 1: If an industry is underground and unreported, it is not included in national productivity measures.
- Premise 2: Some industries run entirely by self-employed industrialists are included in national productivity measures. This means these industries are not underground and unreported since they are accounted for in the measures.
Considering these premises, we can conclude:
- Since some industries run by self-employed industrialists are included in national productivity measures, these specific industries are not operating underground. Hence, there are industries run entirely by self-employed industrialists that are part of national productivity statistics and are not underground.
Therefore, the valid conclusion is: there are at least some industries run entirely by self-employed industrialists that are not underground industries.