### Understanding Bottlenecks in a Three-Station Work CellThe three-station work cell illustrated in Figure S7.7 features a product workflow that must pass through one of two machines at Station 1 (operating in parallel) before moving to Station 2 and subsequently to Station 3. The purpose of this activity is to identify the bottleneck station in this work cell.#### Detailed Description of the Work Cell- **Station 1 Machine A** - Capacity: 20 units/hr- **Station 1 Machine B** - Capacity: 20 units/hr- **Station 2** - Capacity: 5 units/hr- **Station 3** - Capacity: 12 units/hr#### Diagram Breakdown- The diagram depicts the following linear flow: 1. Station 1 consists of two parallel machines (Machine A and Machine B), each with a capacity of 20 units per hour. 2. Products from Station 1 proceed to Station 2, which has a capacity of 5 units per hour. 3. From Station 2, products move to Station 3, which has a capacity of 12 units per hour.Each station's capacity is crucial in determining potential bottlenecks. In this context, a bottleneck is defined as the station with the lowest throughput capacity, limiting the overall output of the work cell.#### Identifying the Bottleneck StationGiven the capacities of each station:- Station 1 (Machine A and Machine B): 20 units/hr each (operating in parallel)- Station 2: 5 units/hr- Station 3: 12 units/hrThe bottleneck is identified at Station 2 since it has the lowest capacity at 5 units per hour, restricting the maximum throughput of the entire system.**What is the bottleneck station of this work cell?**- Station 1/Machine A- Station 1/Machine B- **Station 2**- Station 3

In process operations bottleneck refers to the condition that a station or a task in the entire…

Answered: The three-station work cell illustrated…

Practical Management Science

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ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

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The three-station work cell illustrated in Figure S7.7has a product that must go through one of the two machines atstation 1 {they are parallel) before proceeding to station 2. a) What is the bottleneck time of the system?b) What is the bottleneck station of this work cell?c) What is the throughput time?d) If the firm operates I 0 hours per day, 5 days per week, what isthe weekly capacity of this work cell?
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The three-station work cell illustrated in Figure S7.7has a product that must go through one of the two machines atstation 1 (they are parallel) before proceeding to station 2. a) What is the bottleneck time of the system?b) What is the bottleneck station of this work cell?c) What is the throughput time?d) If the firm operates 10 hours per day, 5 days per week, what isthe weekly capacity of this work cell?
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