* 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.
1. What are the minimum and maximum cycle times?
Minimum is 2.4 minutes, maximum is 18 minutes.
2. What range of output is theoretically possible for the line?
25 units to 187.5 units.
3. What is the minimum number of workstations needed if the maximum output rate is to be sought?
4. What cycle time will provide an output rate of 125 units per day?
5. What output potential will result if the cycle time is (1) 9 minutes? (2) 15 minutes?
(1) 50 units.
(2) 30 units.
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Draw the precedence diagram.
2. Assign tasks to stations in order of greatest number of following tasks.
3. Determine the percentage of idle time.
4. Compute the rate of output in printers per day that could be expected for this line assuming a 420-minute working day.
323 copiers per day.
2. Answer these questions:
5. What is the shortest cycle time that will permit use of only two workstations? Is this cycle time feasible? Identify the tasks you would assign to each station.
6. Determine the percentage of idle time that would result if two stations were used.
7. What is the daily output under this arrangement?
182.6 copiers per day.
8. Determine the output rate that would be associated with the maximum cycle time.
91.3 copiers units per day.
* As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eight-hour day. Task times and precedence relationships are as follows:
Do each of the following:
1. Draw the precedence diagram.
2. Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time.
3. Determine the minimum number of stations needed.
4. Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.
5. Compute the percentage of idle time for the assignment in part d.
* Twelve tasks,...