The Lebanese Army is attempting to save on food rations by trying to cover their minimum daily nutritional requirements (of vitamins A & D as well as Iron) with least cost food rations combined from two different suppliers (Abella and Najjar). At a single ration cost of $0.6, Abella can supply 20% of vitamin A requirement, 25% of vitamin D and 50% of Iron. The figures for Najjar are $0.5 ration cost, 50% of vitamin A, 25% of vitamin D, and 10% of Iron. The Army can purchase from both suppliers and recombine the rations in a way to satisfy their minimum daily requirements.
Find the optimality & feasibility range with corresponding shadow prices for the minimization problem !