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Eng. Management
Bahcesehir University
Department of Industrial Engineering
INE4009 Engineering Management
Final Exam Paper

Q.1. For the set of tasks given below, do the following: a. Develop the precedence diagram. (5 marks) b. Determine the maximum cycle time in seconds for a desired output of 500 units in a 7-hour day. Why might a manager use a cycle time of 50 seconds? (10 marks) c. Determine the minimum number of workstations for output of 500 units per day. (5 marks) d. Calculate the percentage idle time for the line. (5 marks)

Task Task time Immediate (seconds) Predecessors A 45 _ B 11 A C 9 B D 50 _ E 26 D F 11 E G 12 C H 10 C I 9 F,G,H J 10 I 193

Q.2 ABC Company uses overtime, inventory and subcontracting to absorb the fluctuations in demand for its playgrounds for children. An aggregate production plan is devised annually and updated quarterly. Cost data, expected demand, and available capacities in units for the next four quarters are given here. Demand must be satisfied in the periods it occurs; that is, no backordering is allowed. Design a production plan that will satisfy demand at minimum cost. (25 Marks)

Expected Regular Overtime Subcontract
Quarter Demand Capacity Capacity Capacity 1 650 750 100 500 2 1250 950 150 500 3 1350 1050 200 500 4 2750 1050 200 500

Regular
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