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Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide more stability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily demand is 62. The information for the tasks is as follows: Fig. 1 Performance Time (mins) Task Predecessors A A B Fig. 2 D C, D F A 2 F H Е, Н a-b) The correct precedence relationship with one of the possible assignments of tasks using the "ranked positioned weight" to workstations is shown in Fig. 3 c) The efficiency of the assembly line with 5 workstations shown in the figure chosen above=% (enter your response as a percentage rounded to one decimal place). d) The idle time for the assembly line per cycle = minute(s) (enter your response as a whole number).

Tailwind, Inc., produces high-quality but expensive training shoes for runners. The Tailwind shoe, which sells for $210, contains both gas- and liquid-filled compartments to provide more stability and better protection against knee, foot, and back injuries. Manufacturing the shoes requires 10 separate tasks. There are 400 minutes available for manufacturing the shoes in the plant each day. Daily demand is 62. The information for the tasks is as follows: Fig. 1 Performance Time (mins) Task Predecessors A A B Fig. 2 D C, D F A 2 F H Е, Н a-b) The correct precedence relationship with one of the possible assignments of tasks using the "ranked positioned weight" to workstations is shown in Fig. 3 c) The efficiency of the assembly line with 5 workstations shown in the figure chosen above=% (enter your response as a percentage rounded to one decimal place). d) The idle time for the assembly line per cycle = minute(s) (enter your response as a whole number).

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
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Can you assit me with this problem 9 by showing me the process step by step. Thank you kindly

**Title: Assembly Line Optimization for Tailwind, Inc.** **Introduction:** Tailwind, Inc. specializes in producing high-quality training shoes, specifically designed to enhance protection against common running injuries. The manufacturing process consists of 10 distinct tasks, and the production goal is to meet a daily demand of 62 pairs of shoes using 400 available minutes per day. **Task Breakdown:** The assembly tasks, their performance times, and dependencies are outlined as follows: - **Task A:** 1 minute (No predecessors) - **Task B:** 3 minutes (Predecessor: A) - **Task C:** 2 minutes (Predecessor: A) - **Task D:** 2 minutes (Predecessors: A, B) - **Task E:** 1 minute (Predecessors: C, D) - **Task F:** 2 minutes (Predecessor: A) - **Task G:** 3 minutes (Predecessor: F) - **Task H:** 2 minutes (Predecessor: G) - **Task I:** 2 minutes (Predecessors: E, H) - **Task J:** 3 minutes (Predecessor: I) **Assignment and Efficiency:** a-b) The correct task assignments using the "ranked positioned weight" method for workstations are illustrated in the figures provided. **Diagram Analysis:** - **Fig. 1:** This diagram displays the flow of tasks through various stages. Key tasks are grouped efficiently to minimize idle time. - **Fig. 2:** An alternative arrangement focusing on grouping similar tasks, possibly affecting the assembly line's balance. - **Fig. 3:** Another configuration showing a different task arrangement, which might impact operational flow and time. c) Calculate the assembly line efficiency for the configuration with 5 workstations. d) Determine the idle time per cycle for this assembly line. **Conclusion:** The efficiency and idle time calculations are crucial for optimizing the assembly process at Tailwind, Inc., ensuring maximum productivity while meeting daily production demands.
Transcribed Image Text:**Title: Assembly Line Optimization for Tailwind, Inc.** **Introduction:** Tailwind, Inc. specializes in producing high-quality training shoes, specifically designed to enhance protection against common running injuries. The manufacturing process consists of 10 distinct tasks, and the production goal is to meet a daily demand of 62 pairs of shoes using 400 available minutes per day. **Task Breakdown:** The assembly tasks, their performance times, and dependencies are outlined as follows: - **Task A:** 1 minute (No predecessors) - **Task B:** 3 minutes (Predecessor: A) - **Task C:** 2 minutes (Predecessor: A) - **Task D:** 2 minutes (Predecessors: A, B) - **Task E:** 1 minute (Predecessors: C, D) - **Task F:** 2 minutes (Predecessor: A) - **Task G:** 3 minutes (Predecessor: F) - **Task H:** 2 minutes (Predecessor: G) - **Task I:** 2 minutes (Predecessors: E, H) - **Task J:** 3 minutes (Predecessor: I) **Assignment and Efficiency:** a-b) The correct task assignments using the "ranked positioned weight" method for workstations are illustrated in the figures provided. **Diagram Analysis:** - **Fig. 1:** This diagram displays the flow of tasks through various stages. Key tasks are grouped efficiently to minimize idle time. - **Fig. 2:** An alternative arrangement focusing on grouping similar tasks, possibly affecting the assembly line's balance. - **Fig. 3:** Another configuration showing a different task arrangement, which might impact operational flow and time. c) Calculate the assembly line efficiency for the configuration with 5 workstations. d) Determine the idle time per cycle for this assembly line. **Conclusion:** The efficiency and idle time calculations are crucial for optimizing the assembly process at Tailwind, Inc., ensuring maximum productivity while meeting daily production demands.
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