b) What is the bottleneck time of this work cell? c) What is the bottleneck station? d) If the firm operates 8 hours per day, 6 days per week, what is the weekly capacity of this work cell?

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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b) What is the bottleneck time of this work cell?

c) What is the bottleneck station?

d) If the firm operates 8 hours per day, 6 days per week, what is
the weekly capacity of this work cell?

### Three-Station Work Cell at Pullman Manufacturing, Inc.

The work cell at Pullman Manufacturing, Inc. consists of three stations, arranged as illustrated in the figure below. This configuration is designed to streamline the production process by having two machines operating in parallel at Station 1, allowing products to be processed efficiently before moving to the subsequent stations.

#### Figure: Three-Station Work Cell Workflow

1. **Station 1 (Machine A & Machine B):**
   - **Machine A**: 20 minutes per unit
   - **Machine B**: 20 minutes per unit
   - The products enter Station 1 and are processed by either Machine A or Machine B. Both machines perform the same function, and processing takes 20 minutes per unit regardless of which machine is used.

2. **Station 2:**
   - Processing Time: 15 minutes per unit
   - After completion at one of the machines at Station 1, the product moves to Station 2 for further processing, which takes 15 minutes per unit.

3. **Station 3:**
   - Processing Time: 5 minutes per unit
   - The final stage involves processing at Station 3, which takes 5 minutes per unit.

This setup, with machines in parallel at Station 1, enhances the overall efficiency by allowing for continuous workflow, minimizing downtime, and balancing the workload across the stations.

In summary, the workflow progresses as follows:
1. **Station 1:** Either Machine A or Machine B (20 minutes/unit)
2. **Station 2** (15 minutes/unit)
3. **Station 3** (5 minutes/unit)

This sequential process ensures that each product moves smoothly through the production line, optimizing the manufacturing time and resources.
Transcribed Image Text:### Three-Station Work Cell at Pullman Manufacturing, Inc. The work cell at Pullman Manufacturing, Inc. consists of three stations, arranged as illustrated in the figure below. This configuration is designed to streamline the production process by having two machines operating in parallel at Station 1, allowing products to be processed efficiently before moving to the subsequent stations. #### Figure: Three-Station Work Cell Workflow 1. **Station 1 (Machine A & Machine B):** - **Machine A**: 20 minutes per unit - **Machine B**: 20 minutes per unit - The products enter Station 1 and are processed by either Machine A or Machine B. Both machines perform the same function, and processing takes 20 minutes per unit regardless of which machine is used. 2. **Station 2:** - Processing Time: 15 minutes per unit - After completion at one of the machines at Station 1, the product moves to Station 2 for further processing, which takes 15 minutes per unit. 3. **Station 3:** - Processing Time: 5 minutes per unit - The final stage involves processing at Station 3, which takes 5 minutes per unit. This setup, with machines in parallel at Station 1, enhances the overall efficiency by allowing for continuous workflow, minimizing downtime, and balancing the workload across the stations. In summary, the workflow progresses as follows: 1. **Station 1:** Either Machine A or Machine B (20 minutes/unit) 2. **Station 2** (15 minutes/unit) 3. **Station 3** (5 minutes/unit) This sequential process ensures that each product moves smoothly through the production line, optimizing the manufacturing time and resources.
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