The​ three-station work cell illustrated in the figure below has a product that must go through one of the two machines at station 1​ (they are​ parallel) before proceeding to station 2.   ​a) The bottleneck time of the system is minutes per unit ​(enter your response as a whole​ number). ​b) is the bottleneck station. ​c) The throughput time is minutes ​(enter your response as a whole​ number). ​d) If the firm operates 9 hours per​ day, 5 days per​ week, the weekly capacity of this work cell is units​ (enter your response as a whole​ number).

Practical Management Science
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The​ three-station work cell illustrated in the figure below has a product that must go through one of the two machines at station 1​ (they are​ parallel) before proceeding to station 2.
 
​a) The bottleneck time of the system is
minutes per unit ​(enter your response as a whole​ number).
​b) is the bottleneck station.
​c) The throughput time is
minutes ​(enter your response as a whole​ number).
​d) If the firm operates
9 hours per​ day, 5 days per​ week, the weekly capacity of this work cell is
units​ (enter your response as a whole​ number).
This diagram illustrates a production workflow involving three stations, each with specific capacities.

**Station 1:**
- Consists of two machines:
  - Machine A with a capacity of 30 units per hour.
  - Machine B also with a capacity of 30 units per hour.
- Both machines feed into Station 2.

**Station 2:**
- Has a capacity of 6 units per hour.
- Receives input from both Machine A and Machine B of Station 1.
- Outputs to Station 3.

**Station 3:**
- Has a capacity of 2 units per hour.
- Receives input solely from Station 2.

**Workflow Explanation:**
The workflow begins at Station 1, where either Machine A or Machine B processes up to 30 units per hour. The processed items are then sent to Station 2, which can handle only 6 units per hour despite the higher input capacity. Finally, the output from Station 2 is sent to Station 3, which further reduces the processing capacity to 2 units per hour. This illustrates how bottlenecks can occur in a production line when downstream stations have lower capacities than upstream stations.
Transcribed Image Text:This diagram illustrates a production workflow involving three stations, each with specific capacities. **Station 1:** - Consists of two machines: - Machine A with a capacity of 30 units per hour. - Machine B also with a capacity of 30 units per hour. - Both machines feed into Station 2. **Station 2:** - Has a capacity of 6 units per hour. - Receives input from both Machine A and Machine B of Station 1. - Outputs to Station 3. **Station 3:** - Has a capacity of 2 units per hour. - Receives input solely from Station 2. **Workflow Explanation:** The workflow begins at Station 1, where either Machine A or Machine B processes up to 30 units per hour. The processed items are then sent to Station 2, which can handle only 6 units per hour despite the higher input capacity. Finally, the output from Station 2 is sent to Station 3, which further reduces the processing capacity to 2 units per hour. This illustrates how bottlenecks can occur in a production line when downstream stations have lower capacities than upstream stations.
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