Question a) A furniture manufacturer has been receiving complaints about the quality of their products. Explain how this problem could be resolved by applying the six-sigma methodology. (12 marks) b) Fixit rebuilds automotive components. Its main facility has a work cell dedicated to rebuilding fuel pumps. The following table shows the times and predecessors for the various tasks: Task Task Time Immediate (seconds) Predecessors ABC DE FGH 100 150 93 A 120 B 86 B 84 C 65 D, E 15 F, G i) Draw the precedence diagram. (2 marks) ii) Fixit would like the cell to be able to handle 100 pumps a day (assume 8 hours a day). What is the cycle time? What is the theoretical minimum number of workstations required? (4 marks) iii) Balance the line using the greatest number of following tasks. Break ties using the largest positional weight heuristic. iv) Determine the percentage idle time for the line Show all your workings clearly. (10 marks) (2 marks)