Emerging trends in food supply chains, such as changing consumer behaviour towards sustainably grown food products, increased food mile due to globalisation and trade, warrant the need for further research in the sustainable food supply chain. Economic losses occur due to one-third of produced food products being wasted and landfilled irrespective of the opportunities available for valorisation, causing significant negative environmental and social consequences. Lastly, given the perishable nature of food products, assessing the impact of food shelf life on purchasing decisions, inventory, food waste and sustainability dimensions warrant further research. Given these drivers, models are required for the complex task of designing a sustainable food supply chain network which considers the three dimensions of sustainability economic, environmental and social, shelf life and food waste valorisation opportunities. To address these gaps, in this study, considering food waste recovery plant as one of the entities of the food supply chain and shelf life of the food product, a multi-objective mixed-integer linear optimisation model is proposed, one that minimises the total cost and environmental impact while maximising the social benefit. The proposed model is applied to a real case of processed mango fruit supply chain in India and solved using a posteriori approach - augmented ϵ-constraint method. The case study elucidates trade-offs and the impact of focusing only on a particular dimension of sustainability. Also, the impact of considering shelf life on all three dimensions of sustainability, inventory and waste generated are analysed.