Suppose in Problem 42 that additional constraints arise from the fact that certain tasks cannot be performed at the same station. In particular suppose that the tasks are zoned in the following manner:

Zone 1 Tasks 2, 3, 1, 4, 6 Zone 2 Tasks 5, 8, 7, 9 Zone 3 Tasks 10, 11 Assuming that only tasks in the same zone category can be performed at the same station, determine the resulting line balance for Problem 42 based on a 45‑second cycle time.