A manufacturer is designing a product layout for a new product production. It plans to use a production line for 8 hours per day in order to meet forecasted demand of 90 units per day. The product requires 7 tasks in total. These tasks are namely, A, B, C, D, E, F, and G respectively. Task A does not have any predecessor to start To start Task B it

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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A manufacturer is designing a product layout
for a new product production. It plans to use a
production line for 8 hours per day in order to
meet forecasted demand of 90 units per day.
The product requires 7 tasks in total. These
tasks are namely, A, B, C, D, E, F, and G
respectively. Task A does not have any
predecessor to start. To start Task B, it
requires Task A to be completed. Starting
tasks C needs, the task B to be completed.
Also, starting task D needed task B to be
completed. Task E can only start upon
completion of Task C. Whereas starting task F
needs the completion of both the tasks D and
E. Finally, starting task G needed, task F to be
completed. The processing times for tasks, A,
B, C, D, E, F, and G are 2.8, 2.1, 0.9, 1.0, 1.2, 1.8,
are 4.7 minutes respectively. How many
minimum numbers of workstations are
needed?
Transcribed Image Text:A manufacturer is designing a product layout for a new product production. It plans to use a production line for 8 hours per day in order to meet forecasted demand of 90 units per day. The product requires 7 tasks in total. These tasks are namely, A, B, C, D, E, F, and G respectively. Task A does not have any predecessor to start. To start Task B, it requires Task A to be completed. Starting tasks C needs, the task B to be completed. Also, starting task D needed task B to be completed. Task E can only start upon completion of Task C. Whereas starting task F needs the completion of both the tasks D and E. Finally, starting task G needed, task F to be completed. The processing times for tasks, A, B, C, D, E, F, and G are 2.8, 2.1, 0.9, 1.0, 1.2, 1.8, are 4.7 minutes respectively. How many minimum numbers of workstations are needed?
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