QUESTION 3 (30 Marks) A factory has three departments A, B and C that have an excess of pallets over and above their needs and four departments, D, E, F and G that require pallets. The excesses and requirements are shown in the following table: Department A B C D E F G Excess pallets 15 10 11 Pallets required 7 10 10 9 The times involved in moving the pallets from the departments with excesses to those needing pallets are shown in the following table: Time, minutes From To D E F G A 11 21 13 21 B 20 25 25 14 10 C 23 17 7 16 What is the optimum distribution plan to minimize total delivery time? What is the total minimum time involved in distributing the excess pallets? Assume that the pallets are moved one at a time.