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A manual assembly line is to be designed to make a small consumer product. The work ele- ments, their times, and precedence constraints are given in the table below. The workers will operate the line for 400 min per day and must produce 300 products per day. A mechanized belt, moving at a speed of 1.25 m/min, will transport the products between stations. Because of the variability in the time required to perform the assembly operations, it has been deter- mined that the tolerance time should be 1.5 times the cycle time of the line. (a) Determine the ideal minimum number of workers on the line. (b) Use the Kilbridge and Wester method to balance the line. (c) Compute the balance delay for your solution in part (b). Element 1 2 3 4 5 Time Te 0.4 min 0.7 min 0.5 min 0.8 min 1.0 min Preceded by 1 1 2 2,3 Element 6 7 8 9 10 Time Te 0.2 min 0.3 min 0.9 min 0.3 min 0.5 min Preceded by 3 4,9 5, 6roduc 7,8 mete

A manual assembly line is to be designed to make a small consumer product. The work ele- ments, their times, and precedence constraints are given in the table below. The workers will operate the line for 400 min per day and must produce 300 products per day. A mechanized belt, moving at a speed of 1.25 m/min, will transport the products between stations. Because of the variability in the time required to perform the assembly operations, it has been deter- mined that the tolerance time should be 1.5 times the cycle time of the line. (a) Determine the ideal minimum number of workers on the line. (b) Use the Kilbridge and Wester method to balance the line. (c) Compute the balance delay for your solution in part (b). Element 1 2 3 4 5 Time Te 0.4 min 0.7 min 0.5 min 0.8 min 1.0 min Preceded by 1 1 2 2,3 Element 6 7 8 9 10 Time Te 0.2 min 0.3 min 0.9 min 0.3 min 0.5 min Preceded by 3 4,9 5, 6roduc 7,8 mete

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A manual assembly line is to be designed to make a small consumer product. The work ele- ments, their times, and precedence constraints are given in the table below. The workers will operate the line for 400 min per day and must produce 300 products per day. A mechanized belt, moving at a speed of 1.25 m/min, will transport the products between stations. Because of the variability in the time required to perform the assembly operations, it has been deter- mined that the tolerance time should be 1.5 times the cycle time of the line. (a) Determine the ideal minimum number of workers on the line. (b) Use the Kilbridge and Wester method to balance the line. (c) Compute the balance delay for your solution in part (b). Element 1 2 3 4 5 Time Te 0.4 min 0.7 min 0.5 min 0.8 min 1.0 min Preceded by 2 2,3 Element 6 7 8 9 10 Time Te 0.2 min 0.3 min 0.9 min 0.3 min 0.5 min Preceded by 3 4) aver 4,9 5,6 7,8
Transcribed Image Text:A manual assembly line is to be designed to make a small consumer product. The work ele- ments, their times, and precedence constraints are given in the table below. The workers will operate the line for 400 min per day and must produce 300 products per day. A mechanized belt, moving at a speed of 1.25 m/min, will transport the products between stations. Because of the variability in the time required to perform the assembly operations, it has been deter- mined that the tolerance time should be 1.5 times the cycle time of the line. (a) Determine the ideal minimum number of workers on the line. (b) Use the Kilbridge and Wester method to balance the line. (c) Compute the balance delay for your solution in part (b). Element 1 2 3 4 5 Time Te 0.4 min 0.7 min 0.5 min 0.8 min 1.0 min Preceded by 2 2,3 Element 6 7 8 9 10 Time Te 0.2 min 0.3 min 0.9 min 0.3 min 0.5 min Preceded by 3 4) aver 4,9 5,6 7,8
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