Mathematical Modelling of Resource Allocation and Optimisation Problems
Mathematics — 2025, Undergraduate
This study developed mathematical models for resource allocation and optimisation problems. Allocation problems were formulated as constrained optimisation models and solved using structured methods, with shadow prices and constraints interpreted. The findings revealed that the models produced feasible optimal allocations and identified binding constraints, while sensitivity analysis showed how solutions shifted with parameter changes. The study observed that model formulation quality determined solution usefulness. It recommends optimisation modelling for budgeting and resource planning.