The strategic allocation of surplus food by foodbanks to vulnerable populations presents an opportunity to aid in the daily decision making of foodbank managers by assisting them in making three critical daily decisions in support of achieving operational efficiency. These decisions are which beneficiary organisations to serve, which food items to allocate to each beneficiary organisation, and the quantity of each of these items to supply to each beneficiary organisation on any particular day. In this paper, we present a greedy heuristic for the equitable food allocation among beneficiary organisations, constrained by the unpredictable nature of donations entering the foodbank warehouse. The strategic prioritisation of beneficiary organisations is considered in the heuristic, as are nutritional requirements, inventory management, and diverse nutritional distribution. The heuristic is aimed at addressing the challenge of utilising limited resources and supporting the critical decisions that foodbanks face on a daily basis towards meeting the demands of vulnerable populations. By applying the heuristic in a real-world case study, it is demonstrated that the allocation of food waste may increase the average quality of monthly deliveries across all beneficiary organisations by up to 13.40%.