Section A Problem # 1 (10 marks) A manufacturing company builds three finished goods: X, Y and Z. The plant's production line runs 7.5 hours each day, 250 days per year. The product structure tree ("bill of material") is also shown for Product X, which is assembled using components E, F, and G. Demand for these products is steady and predictable. Annual demand for the three finished goods is as follows: X = 45,000 units Y = 30,000 units Z = 27,500 units a) Calculate the takt time for each of finished goods X, Y, and Z b) What is the overall takt time for X, Y, and Z? c) Calculate the takt times for each of components E, F, and G X E (2) F (3) G (2) Use this space to show your calculations: Product Annualy Requirements X 45000 7.5 hour day, 250 days a year Y 30000 or: 112500 minutes N 27500 Total 102500 a) Product Takt time b) overall take time: 112500 minutes/102500 = 1.097561 X 2.50 A product must be completed every 1.097561 minutes 3.75 N Z 4.09 X 2.5 = 1.25 NON X 2.5 = 0.83 X 0.83 = 0.42