(a) The precedence diagram appears below.
(b) Required cycle time is 4802./600 = 1.6 minutes or 96 seconds.
(c) 235/96 = 2.45 or 3 workstations are needed.
(d) The computer output places tasks A-B-C-D in station 1, E-F in station 2, and G-H in station 3.
(e) Efficiency is about 82 percent.
Station Task Time (seconds) Time left (seconds) Ready tasks
A,B,C,D
1 B 30. 66. A,C,D
C 25. 41. A,D
A 20. 21. D,E
D 10. 11. E,F
2 E 55. 41. F,G
F 30. 11. G
3 G 25. 71. H
H 40. 31.
Summary Statistics
Cycle time 96 seconds
Time allocated (cycle time ∗ #) 288 seconds/cycle
Time needed (sum of task times) 235 seconds/unit
Idle time (allocated-needed) 53 seconds/cycle
Efficiency (needed/allocated) 81.59722%
Balance Delay (1-efficiency) 18.40278%
Min (theoretical) # of stations 3