  In this paper, we introduce an algorithm designed to solve a Multilevel
MOnoObjective Linear Programming Problem (ML(MO)OLPP). Our approach is a
refined adaptation of Sinha and Sinha's linear programming method,
incorporating the development of an "interval reduction map" that precisely
refines decision variable intervals based on the influence of the preceding
level's decision maker. Each construction stage is meticulously examined. The
effectiveness of the algorithm is validated through a detailed numerical
example, illustrating its practical applicability in resource management
challenges. With a specific focus on vaccination planning within long-term care
facilities and its relevance to the COVID-19 pandemic, our study addresses the
optimization of resource allocation, placing a strong emphasis on the equitable
distribution of COVID-19 vaccines.
