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QUESTION #1 The figure shows the manufacturing processes, weekly market demands, unit revenues, and raw material requirements for two products. The products pass through a series of operations indicated by the circles. The products are manufactured on five machines. The machine assignments are shown by letters within the operation circles. The processing time for each operation is shown in minutes per unit adjacent to the circle. All setup times are zero. Operation E is an assembly operation that combines a unit from each of its two inputs to make the finished product 2. There are 5000 minutes per week available on each machine type. There is one of each type of machine. a. Use the theory of constraints to identify the bottlenecks in the system. Show all work used to find the bottleneck. b. For the bottlenecks discovered find the best product mix of P1 and P2. Show in your answer the rational for selecting the product mix. c. What is the maximum total profit per week? Product 1 Market Demand: 1000 Revenue per unit: $100 (4) (3) (2) (1 Min.) Raw Material Cost: $50 each Product 2 Market Demand: 1000 Revenue per unit: $150 B A (3) (2 Min.) RM Cost: $60 each E (4) D (3) C (1) RM Cost: $60 each Machines A, B, C, D, E Available time 5000 minutes.

QUESTION #1 The figure shows the manufacturing processes, weekly market demands, unit revenues, and raw material requirements for two products. The products pass through a series of operations indicated by the circles. The products are manufactured on five machines. The machine assignments are shown by letters within the operation circles. The processing time for each operation is shown in minutes per unit adjacent to the circle. All setup times are zero. Operation E is an assembly operation that combines a unit from each of its two inputs to make the finished product 2. There are 5000 minutes per week available on each machine type. There is one of each type of machine. a. Use the theory of constraints to identify the bottlenecks in the system. Show all work used to find the bottleneck. b. For the bottlenecks discovered find the best product mix of P1 and P2. Show in your answer the rational for selecting the product mix. c. What is the maximum total profit per week? Product 1 Market Demand: 1000 Revenue per unit: $100 (4) (3) (2) (1 Min.) Raw Material Cost: $50 each Product 2 Market Demand: 1000 Revenue per unit: $150 B A (3) (2 Min.) RM Cost: $60 each E (4) D (3) C (1) RM Cost: $60 each Machines A, B, C, D, E Available time 5000 minutes.

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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**Question #1** The figure shows the manufacturing processes, weekly market demands, unit revenues, and raw material requirements for two products. The products pass through a series of operations indicated by the circles. The products are manufactured on five machines. The machine assignments are shown by letters within the operation circles. The processing time for each operation is shown in minutes per unit adjacent to the circle. All setup times are zero. Operation E is an assembly operation that combines a unit from each of its two inputs to make the finished product 2. There are 5000 minutes per week available on each machine type. There is one of each type of machine. a. Use the theory of constraints to identify the bottlenecks in the system. Show all work used to find the bottleneck. b. For the bottlenecks discovered, find the best product mix of P1 and P2. Show in your answer the rationale for selecting the product mix. c. What is the maximum total profit per week? **Diagram Explanation** - **Product 1:** - Market Demand: 1000 - Revenue per Unit: $100 - Operations: - A (1 Minute) - B (2 Minutes) - C (3 Minutes) - D (4 Minutes) - **Product 2:** - Market Demand: 1000 - Revenue per Unit: $150 - Operations: - A (2 Minutes) - B (3 Minutes) - C (1 Minute) - D (3 Minutes) - E (4 Minutes) - **Raw Material Costs:** - Product 1: $50 each - Product 2: $60 each - **Machines: A, B, C, D, E** - Available time: 5000 minutes per machine per week The production process diagram illustrates workflow paths and timings required for each operation in minutes for both product types. Operation E represents an assembly operation necessary to complete Product 2. Each machine is used for specific operations with determined timing, and there are constraints based on available machine time per week.
Transcribed Image Text:**Question #1** The figure shows the manufacturing processes, weekly market demands, unit revenues, and raw material requirements for two products. The products pass through a series of operations indicated by the circles. The products are manufactured on five machines. The machine assignments are shown by letters within the operation circles. The processing time for each operation is shown in minutes per unit adjacent to the circle. All setup times are zero. Operation E is an assembly operation that combines a unit from each of its two inputs to make the finished product 2. There are 5000 minutes per week available on each machine type. There is one of each type of machine. a. Use the theory of constraints to identify the bottlenecks in the system. Show all work used to find the bottleneck. b. For the bottlenecks discovered, find the best product mix of P1 and P2. Show in your answer the rationale for selecting the product mix. c. What is the maximum total profit per week? **Diagram Explanation** - **Product 1:** - Market Demand: 1000 - Revenue per Unit: $100 - Operations: - A (1 Minute) - B (2 Minutes) - C (3 Minutes) - D (4 Minutes) - **Product 2:** - Market Demand: 1000 - Revenue per Unit: $150 - Operations: - A (2 Minutes) - B (3 Minutes) - C (1 Minute) - D (3 Minutes) - E (4 Minutes) - **Raw Material Costs:** - Product 1: $50 each - Product 2: $60 each - **Machines: A, B, C, D, E** - Available time: 5000 minutes per machine per week The production process diagram illustrates workflow paths and timings required for each operation in minutes for both product types. Operation E represents an assembly operation necessary to complete Product 2. Each machine is used for specific operations with determined timing, and there are constraints based on available machine time per week.
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