Recent input–output (IO) literature offers original proposals on using linear programming (LP) to make ‘tolerable limits’ approach suitable for measuring the importance of IO coefficients to an economy. In this paper, I focus on one of such influential proposals presented in Tarancón et al. [(2008). A revision of the tolerable limits approach: searching for the important coefficients. Economic Systems Research, 20, 75–95]. In the theoretical part of this paper, I provide exact analytical solutions to the LP problems formulated in Tarancón et al. The main result proves that the classification of IO coefficients with respect to their importance in the sense of the LP-based indicators of Tarancón et al. does not depend on the benchmark welfare measure of interest. This fact, in turn, severely reduces practical applicability of the discussed LP-based approach to tracing important IO coefficients.

最近的投入产出 (IO) 文献提供了关于使用线性规划 (LP) 使“可容忍限度”方法适用于衡量 IO 系数对经济的重要性的原始建议。在本文中，我关注 Tarancón 等人提出的具有影响力的提案之一。[（2008 年）。容许限度方法的修订：寻找重要系数。经济系统研究，20, 75–95]。在本文的理论部分，我为 Tarancón 等人提出的 LP 问题提供了精确的解析解。主要结果证明，在 Tarancón 等人的基于 LP 的指标意义上，IO 系数的分类与其重要性有关。不依赖于利息的基准福利度量。反过来，这一事实严重降低了所讨论的基于 LP 的方法跟踪重要 IO 系数的实际适用性。