Problem 12. Using the weighted center of gravity method where should the facility be located based on the table below? 21 48 Destination Location 1 Location 2 Location 3 Location 4 Location 5 Location 6 41 y Quantity 5 34000 42 12000 34 50000 30 21000 37 41000 22 31000 28 20 47 Problem 13. A quality inspector took five samples (K=5), each with four observations (n=4),of the length of time for the assembly of a product. All values are in minutes. Use the chart below to calculate the grand mean and the three-sigma (z=3) Upper and Lower Control Limit for x means of future times (standard deviation of the process is 0.06 minute) Sample 3 4 5 Observation 1 2 3 4 1 7.65 7.55 7.67 7.56 2 7.68 7.58 7.57 7.64 7.6 7.57 7.59 7.68 7.66 7.53 7.67 7.6 7.65 7.5 7.69 7.7 Problem 14. A car dealership sells 200 cars a year. Annual carrying cost is $8,889 per car, and ordering cost is $5,000. The dealership operates 363 days a year. Calculate the EOQ, the number of orders per year, the length of the order cycle, and the total cost of ordering and storage per year (round to a whole number when it makes sense to do so)