1. Suppose that you are the Logistics Manager for some company. The company has two factories, one located in Zenica (Z) and the other in Tuzla (T). From these cities, the daily produced products should be sent to 3 depots, located in different parts of B&H. Let us call these depots as A, B and C. Every day, each depot requires exactly 25, 13 and 34 units. The factories have the following daily production capacities: 30 units in Zenica, 60 units in Tuzla. The cost of transportation of each unit is given in the following table: From/To Zenica Tuzla Depot A 150 130 Cost in KMs Depot B 100 110 Depot C 120 130 How many units should be transported every day, from each factory to each depot, so that the transportation costs will be minimized? a. Define your decision variables explicitly. (5 points) b. Write your LP model. (20 points) c. Solve in any optimization tool, present and explain your findings. (10 points) d. Suppose that there is a construction on the road from Tuzla to depot A. You cannot send any products using this route. Update your model (explain how), and present the new transportation plan and the resulting cost. (10 points) ? A Requirement: 25 Capacity: 30 Z B Requirement: 13 Capacity: 60 T Requirement: 34