[ 12 pts. ) A production facility assembles telephones on a production line. The assembly requires 12 tasks with precedence relationships, activity times, and positional weights as shown below. Task Immediate Time Positional weight Predecessors 1 12 70 12 6 58 2 6 31 4 2 2 27 B 2 2 20 6 2 12 29 7 3.4 7 25 8 17 5 18 5 1 18 10 9.6 4 17 8. 10 6 13 12 11 1.[3 pts. ] What is the minimum cycle time that is possible? 2.[3 pts. ] Based on the ranked positional weight technique, how many stations are actually required for the cycle time indicated in part (a)? 3.[3 pts. ] What are the tasks assigned to station 4 based on the ranked positional weight technique? (Put a dash or space between the tasks (e.g., 1-2-3-4 OR 1 2 3 4) 4.[3 pts. ] What is the minimum number of stations that would theoretically be required to achieve this cycle time