5. You have been assigned the responsibility of designing a facility with 5 departments (A, B, C, D, E), assigned to 5 identical locations (1, 2, 3, 4, 5) shown on the layout figure below. The total material flows between each pair of departments (Wij) are shown in the table below. These numbers already include the flow in both directions. (25 Points) Flow-Between Matrix A B D E A 0 5 0 5 B 6 2 0 3 0 D 7 E 1 23 4 5 Use the following construction heuristic to determine how you would assign the 5 departments to the 5 available locations 1. Order the department from highest to lowest Total Material Flow 2. Assign the department with the highest flow to location 3. 3. Add the remaining departments in the order achieved from part (a), adding them to the location that minimizes additional cost. 4. Break any ties by selecting the department or location with the highest index. Note: Assume that the distance between adjacent locations (both vertically and horizontally) are 1 unit (for example, the distance between locations 2 and 3 is 1 unit, while the distance between locations 2 and 4 is 2 units) Fill-in the layout below with your final solution