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 100 units per day. The product requires 7 tasks in total. These tasks are namely, A, B, C, D, E, E. 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, and 4.7 minutes respectively. How many minimum numbers of workstations are needed? a. O b. None is the correct answer O c. O d. 2 O e. 4

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 100 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, and 4.7 minutes respectively. How many minimum
numbers of workstations are needed?
O a. 6
O b. None is the correct answer
O c. 8
O d. 2
O e.
4
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 100 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, and 4.7 minutes respectively. How many minimum numbers of workstations are needed? O a. 6 O b. None is the correct answer O c. 8 O d. 2 O e. 4
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