Average and Mixtures — Mains Questions

Analyze the implications of using simple average versus weighted average in assessing socio-economic indicators for policy formulation. Provide examples where misapplication could lead to flawed policy outcomes in the Indian context.

The government is considering a policy to blend two types of pulses, A and B, with different nutritional values and market prices, to create a subsidized mixture for public distribution. Discuss the quantitative challenges in determining the optimal blending ratio to meet both nutritional targets and cost-effectiveness, and how the Alligation Method can assist in this decision-making process.

In the context of managing water resources, explain how the concept of successive mixing (dilution) can be applied to understand the impact of pollutant discharge into a river system and the subsequent efforts for water quality restoration. What are the limitations of a purely mathematical model in such scenarios?