Question 3: The management of a dried milk manufacturer wanted to evaluate the process capability of its packaging lines. A can line was studied for weight of filled cans. The specification is 974 grams plus or minus 14 grams (including the weight of the can itself). Thirty-five samples of six cans were weighed, and sample mean and range were calculated. The process was in control. The grand mean was 975.7 grams and process standard deviation was 4.7581 grams. a) Calculate the Cp and Cpk ratios. b) Is the filling line capable? c) After changing the wearable parts of the line, including the piston cylinders, 46 samples of 6 cans were weighed. The grand mean was 976.19 grams and process standard deviation was 2.891 grams. Calculate the new values of Cb and Cpk ratios. d) Has the filling line become capable? Question 4: Dalhousie's business program has expanded their course offerings and can enroll an additional 2000 students. However, in order to make sure that the class sizes remain at a reasonable level, they decided to cap the enrollment at 1500 new students. Although there is a lot of demand for business courses, conflicting schedules only allowed 1450 new students to take business courses. What are the utilization and efficiency of the system? Question 5: Sheri's Salon is opening a new line of shampoo for retail distribution. Fixed cost is estimated to be $600 and variable cost is 0.50 per unit. The selling price is expected to average $0.75 per unit. a) What is Sheri's Salon break-even point in units? b) What is the break-even point in dollars