This paper examines the complexities of the agri-food supply chain (AFSC) and the potential benefits of integrating blockchain technology. The AFSC includes various activities from farming to consumer delivery, and recent developments have increased its logistical complexity and labor challenge. Focusing on the social aspect of supply chain sustainability, this paper proposes a mathematical model that integrates blockchain as a decentralized and adequate system to mitigate bad labor recruitment practices. By utilizing blockchain technology, stakeholders can validate and approve transactions, thereby ensuring fair labor practices and ethical operations throughout the supply chain. This paper sets the stage for a comprehensive study that integrates theoretical concepts with practical solutions to address pressing issues in the agri-food supply chain. The aim of the proposed approach is to maximize overall profit, minimize costs while having a good transparency on harmful labor practices.