Based on the information provided, the most relevant specific problem to generate as part of the primitive problem would be:
The availability of enough data related to the amount and purity of main product
The primitive problem appears to involve deciding whether to build a new industrial plant. Some key specific factors to consider would be:
- The current production and capacity of existing facilities
- Projected market demand for the product
- Current and projected selling prices
- The economic situation and outlook
However, the availability of enough data related to the amount and purity of the main product that could be produced by the new plant seems most directly relevant. Without detailed data on potential production volume and purity, it would be difficult to accurately forecast costs, revenues, and profitability.
Factors like industrial sector roles, economic conditions, prices, and demand are important but seem less directly tied to evaluating the core feasibility of the new plant. Sufficient production/purity data is critical for determining if the proposed facility could physically meet market needs at a viable cost. As such, focusing on gathering and analyzing that production/purity data appears to be the most pressing specific problem to generate. The other factors can be evaluated after or in conjunction with a rigorous assessment of production capabilities.