paraphrase these challenges are multifaceted, encompassing factors such as patient demand, supply fluctuations, and compliance with regulations. To address these challenges, linear optimization techniques, as discussed in the literature references, can play a pivotal role in finding the most efficient solutions. By leveraging linear programming, healthcare organizations can enhance operational efficiency, reduce costs, and ultimately improve the overall quality of care provided to patients. This optimization is crucial for the ever-evolving healthcare industry as it strives to balance the demands of patient care with economic sustainability