Solution: We are given that the total number of regions is 12, and the number of clusters must be an integer between 2 and 5 inclusive. We want to maximize the number of regions per cluster, which means minimizing the number of clusters (while satisfying the constraints).

Wed, 06 May 2026 04:43:16 +0000

Title: How to Minimize Clusters While Maximizing Regions Per Cluster: A Strategic Approach for 12 Regions --- When tasked with organizing 12 distinct regions into clusters or groups, a key objective is often to maximize regions per cluster—effectively minimizing the number of clusters. However, real-world constraints influence this decision, and one critical rule is that the number of clusters must be an integer between 2 and 5, inclusive. In this article, we explore the optimal solution where the number of clusters is minimized (ideally 2) without violating any constraints, thereby maximizing the number of regions assigned per cluster.