A production line is designed to operate 7.5 hours per day and supply a steady demand of 450 units per day. The line efficiency is assumed to be 100%. The production line performs 18 tasks. The task operation times (in minutes) and their precedence relationships are given in Table 1. You are required to determine the number of workstations and the assignment of the tasks to the workstations to balance the production line, and meet customer demands by applying the longest-task-time (LTT), the shortest-task-time (STT), and the Ranked Positional Weights (RPW) methods, respectively. Table 1. Description of the tasks, time and precedence relationships Preceding tasks Task No. Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 Task 11 Task 12 Task 13 Task 14 Task 15 Task 16 Task 17 Task 18 Task time (minutes) 0.50 0.70 0.43 0.24 0.48 0.23 0.40 0.10 0.58 0.36 0.40 0.17 0.63 0.30 0.46 0.47 0.58 0.47 1 2 4,3 5 6 7 9,8 12, 11, 10 14, 13 17, 16, 15 A production line is designed to operate 7.5 hours per day and supply a steady demand of 450 units per day. The line efficiency is assumed to be 100%. The production line performs 18 tasks. The task operation times (in minutes) and their precedence relationships are given in Table 1. You are required to determine the number of workstations and the assignment of the tasks to the workstations to balance the production line, and meet customer demands by applying the longest-task-time (LTT), the shortest-task-time (STT), and the Ranked Positional Weights (RPW) methods, respectively. Table 1. Description of the tasks, time and precedence relationships Preceding tasks Task No. Task 1 Task 2 Task 3 Task 4 Task 5 Task 6 Task 7 Task 8 Task 9 Task 10 Task 11 Task 12 Task 13 Task 14 Task 15 Task 16 Task 17 Task 18 Task time (minutes) 0.50 0.70 0.43 0.24 0.48 0.23 0.40 0.10 0.58 0.36 0.40 0.17 0.63 0.30 0.46 0.47 0.58 0.47 1 2 4,3 5 6 7 9,8 12, 11, 10 14, 13 17, 16, 15