Cartels in Latin America pose a significant threat to societal stability and public safety, perpetuating extensive violence and socio-economic disruption. Despite substantial investments in security measures by states like Mexico and the U.S., violence continues to escalate, and the power of cartels remains resilient. In this presentation we examine the effectiveness of current strategies and propose a novel approach using optimal control theory to analyze cartel dynamics. By modelling the allocation of resources between security initiatives and social programs, this study aims to identify an optimal strategy for reducing cartel violence and mitigating its impacts on society. Through this analytical lens, we offer insights into potential avenues for more effective policymaking and resource allocation in the ongoing fight against organized crime.