Use the process flow diagram to determine which of these events has the greatest net benefit. Station A Station B Station C 1 worker 7 units/hr Station D 1 worker 9 minutes 1 worker 1 worker 6 units/hr 8 minutes O A. increasing the capacity at Station B to 8 units per hour. B. reducing the flow time at Station A from 8 to 7 minutes. C. reducing the flow time at Station D from 9 to 8 minutes. D. increasing the capacity at Station C to 7 units per hour.
Use the process flow diagram to determine which of these events has the greatest net benefit. Station A Station B Station C 1 worker 7 units/hr Station D 1 worker 9 minutes 1 worker 1 worker 6 units/hr 8 minutes O A. increasing the capacity at Station B to 8 units per hour. B. reducing the flow time at Station A from 8 to 7 minutes. C. reducing the flow time at Station D from 9 to 8 minutes. D. increasing the capacity at Station C to 7 units per hour.
Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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
Transcribed Image Text:## Analyzing Process Flow for Optimal Net Benefit
### Process Flow Overview
The process flow diagram below consists of four stations (A, B, C, D), each with specific workers and capacities:
- **Station A**
- 1 worker
- Processing Time: 8 minutes
- **Station B**
- 1 worker
- Capacity: 7 units/hour
- **Station C**
- 1 worker
- Capacity: 6 units/hour
- **Station D**
- 1 worker
- Processing Time: 9 minutes
### Analysis Question
Determine which of the following changes results in the greatest net benefit:
1. **Option A:** Increasing the capacity at Station B to 8 units per hour.
2. **Option B:** Reducing the flow time at Station A from 8 to 7 minutes.
3. **Option C:** Reducing the flow time at Station D from 9 to 8 minutes.
4. **Option D:** Increasing the capacity at Station C to 7 units per hour. _(Correct Answer)_
### Explanation of Options
**Graph/Diagram Explanation:**
The diagram is a linear process flowchart indicating the sequence of operations from Station A to Station D. Each station is represented by a box with annotations showing the number of workers and either the capacity per hour or the flow time:
```
Station A (8 minutes) --> Station B (7 units/hr) --> Station C (6 units/hr) --> Station D (9 minutes)
```
**Detailed Analysis:**
- **Option A:** Station B’s capacity increase to 8 units/hour would slightly enhance output but doesn’t address the bottleneck at Station C.
- **Option B:** Reducing Station A's flow time minimizes delays at the start of the process but might have limited impact compared to the bottleneck.
- **Option C:** Reducing Station D's flow time similarly shortens the process end but doesn’t alleviate any intermediate constraints.
**Selected Option (D):** Increasing Station C's capacity to 7 units/hour directly addresses a critical bottleneck, greatly enhancing overall throughput within the process flow.
### Educational Insight
Understanding process flows and identifying bottlenecks is crucial in optimizing operations. This exercise demonstrates that enhancing capacity at the slowest point in the process (the bottleneck) yields the most significant improvement.
---
For additional learning, consider using simulation tools to visualize how these changes impact the entire
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