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Question 1 (30 Points) Vilfredo Pareto was an Italian economist who studied the distribution of wealth. He found that usually a small proportion of the people (about 20%) control the majority (about 80%) of a society's wealth. This 'Pareto Principle' has also been found to apply in other situations, particularly quality management. When studying things like delays in schedules, customer complaints, employee absenteeism and accidents, Dr Joseph Juran discovered that a small number of causes is generally responsible for a large percentage of the effect. A case study has been carried out to monitor real life data in a manufacturing company that specialized in producing steel. The vital few problems were identified and listed in table below with frequency of occurrence in the process. Table 1: Check Sheet for various steel tests with their respective frequancy Category Repetition Frequency Tensile strength 28 Yield Strength NNNNNI III 5 Elongation Percent 3 Effective diameter 2 Effective Weight Please answer, plot (showing all necessary information), and explain the following questions: a) (15 points) Draw the Pareto chart and shows the results. b) (10 points) Which one is the vital view steel characteristic that need attention? Why? c) (5 points) What percentage of rework is because of the Yield Strength problem? d) (10 points) How many of the vital problems does it take to account for 80% of the problems