The assembly line process for a manufacturing company requires the completion of eight tasks to assemble one unit of a product. The table below shows the task numbers, task times, and precede tasks. The diagram below show the precedent relationships for the eight tasks. The company CEO set a target throughput rate of 400 units per day. The company’s factory design plan calls for the assembly line to operate 7.2 hours a day for five days a week. Task # Task Time (seconds) Task Time (minutes) Preceding Tasks #1 14.0 0.23 None #2 26.0 0.43 #1 #3 10.0 0.17 #2 #4 18.0 0.30 #1 #5 23.0 0.38 #4 #6 12.0 0.20 #5, #7 #7 25.0 0.42 None #8 20.0 0.33 #3, #6 Sum 148.0 2.47

The assembly line process for a manufacturing company requires the completion of eight tasks to assemble one unit of a product. The table below shows the task numbers, task times, and precede tasks. The diagram below show the precedent relationships for the eight tasks. The company CEO set a target throughput rate of 400 units per day. The company’s factory design plan calls for the assembly line to operate 7.2 hours a day for five days a week. Task # Task Time (seconds) Task Time (minutes) Preceding Tasks #1 14.0 0.23 None #2 26.0 0.43 #1 #3 10.0 0.17 #2 #4 18.0 0.30 #1 #5 23.0 0.38 #4 #6 12.0 0.20 #5, #7 #7 25.0 0.42 None #8 20.0 0.33 #3, #6 Sum 148.0 2.47

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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Task #	Task Time (seconds)	Task Time (minutes)	Preceding Tasks
#1	14.0	0.23	None
#2	26.0	0.43	#1
#3	10.0	0.17	#2
#4	18.0	0.30	#1
#5	23.0	0.38	#4
#6	12.0	0.20	#5, #7
#7	25.0	0.42	None
#8	20.0	0.33	#3, #6
Sum	148.0	2.47