3. A production facility assembles toy car on a production line. The assembly requires 12 tasks with precedence relationships and activity times as given table. a) determine positional weights for each of activities b) for a cycle time of 45 units, what is the minimum number of stations that could be achieved? Find the CT=45 balance obtained using ranked positional weight technique. c) Is there a solution with the same number of stations you found in part (b) but with a lower cycle time? In particular, what appears to be minimum cycle time that gives a balance with the same number of stations you found in part (b)? Activity Immediate Predecessor Activity Times 7 1 2 11 1 1 2 3 4 5 6 9 5 10 8 7 8 2 2,3 4 4 5,6 6,7 8 9 7 9 12 7 9 10 11 12 3 11