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Product A Step 1 Station W (11 min) Step 2 Station X Step 3 Station Y- (20 min) Product A Price: Demand: 85 units/wk $2 $55/unit (12 min) Raw materials Purchased part Product B Step 1 Station X (13 min) Step 2 Station W (18 min) Step 3 Station Y (11 min) Product B Price: Demand: 80 units/wk $6 $65/unit Raw materials Purchased part Which of the three workstations, W. X, or Y has the highest aggregate workload, and thus serves as the bottleneck for CKC? with a total load time of minutes. (Enter your response as an integer.)

Product A Step 1 Station W (11 min) Step 2 Station X Step 3 Station Y- (20 min) Product A Price: Demand: 85 units/wk $2 $55/unit (12 min) Raw materials Purchased part Product B Step 1 Station X (13 min) Step 2 Station W (18 min) Step 3 Station Y (11 min) Product B Price: Demand: 80 units/wk $6 $65/unit Raw materials Purchased part Which of the three workstations, W. X, or Y has the highest aggregate workload, and thus serves as the bottleneck for CKC? with a total load time of minutes. (Enter your response as an integer.)

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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**Understanding Workstation Loads and Bottlenecks** In this tutorial, we will analyze the workstation load for two products, A and B, and determine the bottleneck in the production process. ### Overview #### Product A - **Raw Materials**: Identified with a yellow triangle labeled $2. - **Step 1**: Station W (11 min) - **Step 2**: Station X (12 min) - **Purchased Part**: Identified by a purple triangle labeled S3 - **Step 3**: Station Y (20 min) - **Price**: $55/unit - **Demand**: 85 units/week #### Product B - **Raw Materials**: Identified with a yellow triangle labeled $6. - **Step 1**: Station X (13 min) - **Step 2**: Station W (18 min) - **Purchased Part**: Identified by a purple triangle labeled S5 - **Step 3**: Station Y (11 min) - **Price**: $65/unit - **Demand**: 80 units/week ### Flow Diagram Explanation The flow diagram illustrates the steps involved in the manufacturing process for both products. 1. **Product A** starts with raw materials processed at **Station W** for 11 minutes, moves to **Station X** for another 12 minutes, includes a purchased part (S3), and finally is completed at **Station Y** for 20 minutes. 2. **Product B** starts with raw materials processed at **Station X** for 13 minutes, moves to **Station W** for 18 minutes, includes a purchased part (S5), and finally is completed at **Station Y** for 11 minutes. ### Bottleneck Analysis To find the workstation with the highest aggregate workload, we need to calculate the total load time across all workstations (W, X, and Y) and identify the bottleneck. #### Calculation Steps: 1. **Station W Load**: - Product A: 85 units * 11 min/unit = 935 min/week - Product B: 80 units * 18 min/unit = 1440 min/week - Total for Station W: 935 + 1440 = 2375 min/week 2. **Station X Load**: - Product A: 85 units * 12 min/unit = 1020 min/week
Transcribed Image Text:**Understanding Workstation Loads and Bottlenecks** In this tutorial, we will analyze the workstation load for two products, A and B, and determine the bottleneck in the production process. ### Overview #### Product A - **Raw Materials**: Identified with a yellow triangle labeled $2. - **Step 1**: Station W (11 min) - **Step 2**: Station X (12 min) - **Purchased Part**: Identified by a purple triangle labeled S3 - **Step 3**: Station Y (20 min) - **Price**: $55/unit - **Demand**: 85 units/week #### Product B - **Raw Materials**: Identified with a yellow triangle labeled $6. - **Step 1**: Station X (13 min) - **Step 2**: Station W (18 min) - **Purchased Part**: Identified by a purple triangle labeled S5 - **Step 3**: Station Y (11 min) - **Price**: $65/unit - **Demand**: 80 units/week ### Flow Diagram Explanation The flow diagram illustrates the steps involved in the manufacturing process for both products. 1. **Product A** starts with raw materials processed at **Station W** for 11 minutes, moves to **Station X** for another 12 minutes, includes a purchased part (S3), and finally is completed at **Station Y** for 20 minutes. 2. **Product B** starts with raw materials processed at **Station X** for 13 minutes, moves to **Station W** for 18 minutes, includes a purchased part (S5), and finally is completed at **Station Y** for 11 minutes. ### Bottleneck Analysis To find the workstation with the highest aggregate workload, we need to calculate the total load time across all workstations (W, X, and Y) and identify the bottleneck. #### Calculation Steps: 1. **Station W Load**: - Product A: 85 units * 11 min/unit = 935 min/week - Product B: 80 units * 18 min/unit = 1440 min/week - Total for Station W: 935 + 1440 = 2375 min/week 2. **Station X Load**: - Product A: 85 units * 12 min/unit = 1020 min/week
**Canine Kennels Company (CKC) Dog Chew Toy Manufacturing Process** Canine Kennels Company (CKC) manufactures two different types of dog chew toys (A and B, sold in 1,000-count boxes) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process. Batch setup times are negligible. The flowchart below denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. CKC can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $6 per hour. Total labor costs per week are fixed. Variable overhead costs are $3,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. --- **Flowchart Explanation:** ### Product A - **Raw Materials Cost:** $2 - **Step 1:** - **Station W:** 11 minutes - **Step 2:** - **Station X:** 12 minutes - **Purchased Part Cost:** $3 - **Step 3:** - **Station Y:** 20 minutes - **Product A:** - **Price:** $55/unit - **Demand:** 85 units/week ### Product B - **Raw Materials Cost:** $6 - **Step 1:** - **Station X:** 13 minutes - **Step 2:** - **Station W:** 18 minutes - **Step 3:** - **Station Y:** 11 minutes - **Product B:** - **Price:** $65/unit - **Demand:** 80 units/week --- **Visual Flow (Graphical Representation of Process):** 1. **Product A:** - Raw materials ($2) enter **Station W (11 min)**. - Proceeds to **Station X (12 min)**. - Incorporates a purchased part ($3). - Completed at **Station Y (20 min)**. - Final Product A is priced at $55/unit with a demand of 85 units per
Transcribed Image Text:**Canine Kennels Company (CKC) Dog Chew Toy Manufacturing Process** Canine Kennels Company (CKC) manufactures two different types of dog chew toys (A and B, sold in 1,000-count boxes) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process. Batch setup times are negligible. The flowchart below denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. CKC can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone and is paid $6 per hour. Total labor costs per week are fixed. Variable overhead costs are $3,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. --- **Flowchart Explanation:** ### Product A - **Raw Materials Cost:** $2 - **Step 1:** - **Station W:** 11 minutes - **Step 2:** - **Station X:** 12 minutes - **Purchased Part Cost:** $3 - **Step 3:** - **Station Y:** 20 minutes - **Product A:** - **Price:** $55/unit - **Demand:** 85 units/week ### Product B - **Raw Materials Cost:** $6 - **Step 1:** - **Station X:** 13 minutes - **Step 2:** - **Station W:** 18 minutes - **Step 3:** - **Station Y:** 11 minutes - **Product B:** - **Price:** $65/unit - **Demand:** 80 units/week --- **Visual Flow (Graphical Representation of Process):** 1. **Product A:** - Raw materials ($2) enter **Station W (11 min)**. - Proceeds to **Station X (12 min)**. - Incorporates a purchased part ($3). - Completed at **Station Y (20 min)**. - Final Product A is priced at $55/unit with a demand of 85 units per
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