A production process at Kenneth Day Manufacturing is shown in the figure below. The drilling operation occurs separately from, and simultaneously with, the sawing and sanding, which are independent sequential operations. A product needs to go through only one of the three assembly operations (the operations are in parallel). 2.1 units/hr Sawing 5 units/hr Sanding Drilling 5 units/hr Welding 2.5 units/hr a) Sawing is the bottleneck. b) The bottleneck time is 28.57 minutes per unit (round your response to two decimal places). c) The throughput time of the overall system is 89.58 minutes (round your response to two decimal places). Assembly Q 0.8 units/hr Assembly 0.8 units/hr Assembly 0.8 units/hr

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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**Transcription and Explanation:**

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### Production Process at Kenneth Day Manufacturing

A production process at Kenneth Day Manufacturing is illustrated in the diagram below. This process involves several operations, including drilling, sawing, sanding, and welding, each contributing to the assembly of a product. The drilling operation occurs separately from and simultaneously with sawing and sanding, which are independent sequential operations. Products must pass through only one of the three assembly operations, which occur in parallel.

#### Diagram Description

- **Sawing:** The process begins with sawing at a rate of 2.1 units/hour.
- **Sanding:** Following sawing is the sanding process, which occurs at a flow rate of 5 units/hour.
- **Drilling:** The drilling process, occurring simultaneously, also operates at 5 units/hour.
- **Welding:** Both the sanding and drilling processes lead to welding, executed at 2.5 units/hour.
- **Assembly:** Post-welding, the product may proceed through any one of three assembly lines, each operating at 0.8 units/hour.

#### Key Points

a) **Sawing** is identified as the bottleneck in this production process.

b) The bottleneck time is calculated as **28.57 minutes** per unit, rounded to two decimal places.

c) The overall system's throughput time is **89.58 minutes**, also rounded to two decimal places.

This structured process illustrates the flow of production and highlights the critical points affecting efficiency, especially the bottleneck at the sawing stage. Understanding these elements enables better resource allocation and process improvement.
Transcribed Image Text:**Transcription and Explanation:** --- ### Production Process at Kenneth Day Manufacturing A production process at Kenneth Day Manufacturing is illustrated in the diagram below. This process involves several operations, including drilling, sawing, sanding, and welding, each contributing to the assembly of a product. The drilling operation occurs separately from and simultaneously with sawing and sanding, which are independent sequential operations. Products must pass through only one of the three assembly operations, which occur in parallel. #### Diagram Description - **Sawing:** The process begins with sawing at a rate of 2.1 units/hour. - **Sanding:** Following sawing is the sanding process, which occurs at a flow rate of 5 units/hour. - **Drilling:** The drilling process, occurring simultaneously, also operates at 5 units/hour. - **Welding:** Both the sanding and drilling processes lead to welding, executed at 2.5 units/hour. - **Assembly:** Post-welding, the product may proceed through any one of three assembly lines, each operating at 0.8 units/hour. #### Key Points a) **Sawing** is identified as the bottleneck in this production process. b) The bottleneck time is calculated as **28.57 minutes** per unit, rounded to two decimal places. c) The overall system's throughput time is **89.58 minutes**, also rounded to two decimal places. This structured process illustrates the flow of production and highlights the critical points affecting efficiency, especially the bottleneck at the sawing stage. Understanding these elements enables better resource allocation and process improvement.
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