A facility is trying to set up an assembly line and has identified the various tasks, and their relationship to each other, as shown in the following table. Managers wish to achieve an output rate of 120 units per eight-hour day. Task Predecessor(s) Duration (minutes) 1.4 B 0.8 AB 0.4 D 1.8 E 0.4 F 3 G E, F 2 H D G 1.2 COALUT (a) Draw a network diagram of precedence relationships (5 pts) (6) Compute the required cycle time per unit in minutes. (2 pts) Determine the theoretical minimum number of stations needed. (3 pts) Balance this assembly line using the heuristic Longest Task Time (LLT) (15 pts) and the heuristic Number of Following Tasks (NFT) (15 pts) How do these two solutions differ? Which do you prefer, why? (5 pts) (d) a) Precedence diagram b) c) The cycle time The theoretical number of workstations needed Mins/Unit WSs Why d) LTT Method (Longest Task Time) Step Choices Select 1 2 3 4 5 6 7 8 9 10 WS#1 WS#2 WS#3 WS#4 Total Total Total Total Why NFT Method (Number of Following Tasks) Step Choices Select 1 2 3 4 5 am+ION 00 Os 9 10 WS#1 WS#2 WS#3 WS#4 Total Total Total Total e) How do these two solutions differ? Which do you prefer, why