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Production-Operations Management_Chapter 6

Production-Operations Management_Chapter 6

Q 1. An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day. (a) What are the minimum and maximum cycle times? (b) What range of output is theoretically possible for the line? (c) What is the minimum number of workstations needed if the maximum output rate is to be sought? (d) What cycle time will provide an output rate of 125 units per day? (e) What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes?

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(a) Operating time = 450 minutes Minimum time of cycle = Longest task length = 2.4 minutes Maximum time of cycle = ?time for tasks = 18 minutes Therefore, the maximum and minimum times of cycle are 18 minute and 2.4 minute. (b) Output range at 2.4 minutes = Operating time/Longest task length = 450/2.4 = 187.5 units Output range at 18 minutes