Final answer:
The method used to balance the line is a combination of the greatest positional weight heuristic, with tie-breaks decided by the most following tasks heuristic within a cycle time of 50 seconds.
Step-by-step explanation:
To balance the line using the greatest positional weight heuristic, you would assign tasks to workstations in a way that ensures the heaviest tasks, in terms of time needed to complete, are given priority. This method considers the total time required for each task and the sum of the times of all the tasks that follow it. This heuristic assigns higher weights to tasks that are closer to the beginning of the line. It prioritizes balancing the line based on the positional importance of each task.
If there are ties in positional weight, the most following tasks heuristic is used as a tiebreaker. This heuristic selects the task with the highest number of following tasks as the next task to be assigned.When there's a tie in positional weight, the most following tasks heuristic is used, where the task with the most subsequent tasks gets priority. The cycle time of 50 seconds is the maximum amount of time allowed for each workstation to complete its assigned tasks. This ensures that tasks are allocated efficiently across the production line without exceeding the cycle time limit.