A local toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 80 toys. Times of the tasks are 2.73, 2.01, 2.13,2.0, 2.61,2.71, and 2.95 minutes for A, B, C, D, E, F, and G, respectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors; task B requires taskA to be completed. To start task C and task D, each require task B to be completed. Task C must be completed prior to stating task E. Task F needs both task D and task E to be completed. Finaly, task G can start only once task Fis completed.What is the minimum number of workstations needed? O a. 4 O b. None of them О с. 5 O d. 6 Oe. 3

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
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A local toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks
to be performed. The daily demand is 80 toys. Times of the tasks are 2.73, 2.01, 2.13,2.0, 2.61, 2.71, and 2.95 minutes for A, B,
C, D, E, F, and G, respectively. However, due to the nature of the product there are precedence rules that must be observed.
Such that Task A does not need any predecessors; task B requires taskA to be completed. To start task C and task D, each
require task B to be completed. TaskC must be completed prior to stating task E. Task F needs both task D and taskE to be
completed. Finally, task G can start only once task F is completed.What is the minimum number of workstations needed?
O a. 4
O b. None of them
O c. 5
O d. 6
O e 3
Transcribed Image Text:A local toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 80 toys. Times of the tasks are 2.73, 2.01, 2.13,2.0, 2.61, 2.71, and 2.95 minutes for A, B, C, D, E, F, and G, respectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task A does not need any predecessors; task B requires taskA to be completed. To start task C and task D, each require task B to be completed. TaskC must be completed prior to stating task E. Task F needs both task D and taskE to be completed. Finally, task G can start only once task F is completed.What is the minimum number of workstations needed? O a. 4 O b. None of them O c. 5 O d. 6 O e 3
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