a) The correct precedence relationship with one of the possible assignment of tasks to workstations is shown in Fig. 2 b) The operating efficiency of the assembly line with 5 workstations shown in the figure chosen above = 93.3 % (enter your response as a percentage rounded to one decimal place). c) The theoretical minimum number of workstations = (round your response up to the next whole number).

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**The Mach 10 Sailboat Assembly Process**

The Mach 10 is a one-person sailboat manufactured by Creative Leisure. The final assembly plant is located in Cupertino, California. The assembly area is available for the production of the Mach 10 for 200 minutes per day. (The rest of the time is busy making other products.) The daily demand is 56 boats. Given the following information:

| Task | Performance Time (mins) | Predecessors |
|------|--------------------------|--------------|
| A    | 1                        | -            |
| B    | 2                        | A            |
| C    | 2                        | A            |
| D    | 1                        | C            |
| E    | 1                        | C            |
| F    | 2                        | C            |
| G    | 1                        | D, E, F      |
| H    | 1                        | B            |
| I    | 2                        | G, H         |

**a) The correct precedence relationship with one of the possible assignment of tasks to workstations is shown in Fig. 2.**

**b) The operating efficiency of the assembly line with 5 workstations shown in the figure chosen above = 93.3% (enter your response as a percentage rounded to one decimal place).**

**c) The theoretical minimum number of workstations = [ ] (round your response up to the next whole number).**

**Explanation of Diagrams:**

- **Fig. 1**: This diagram illustrates a task flow where each task is connected by directed arrows, indicating the sequence in which tasks must be completed.
  
- **Fig. 2**: This diagram shows the correct task sequencing according to the precedence requirements, effectively grouping tasks in an optimized manner for production efficiency.

- **Fig. 3**: This alternative arrangement visualizes another possible task assignment, but it does not meet the optimal task grouping as Fig. 2 does.

Each figure represents a possible configuration of the assembly line with tasks grouped at workstations, helping to ensure a smooth workflow with minimal delays.
Transcribed Image Text:**The Mach 10 Sailboat Assembly Process** The Mach 10 is a one-person sailboat manufactured by Creative Leisure. The final assembly plant is located in Cupertino, California. The assembly area is available for the production of the Mach 10 for 200 minutes per day. (The rest of the time is busy making other products.) The daily demand is 56 boats. Given the following information: | Task | Performance Time (mins) | Predecessors | |------|--------------------------|--------------| | A | 1 | - | | B | 2 | A | | C | 2 | A | | D | 1 | C | | E | 1 | C | | F | 2 | C | | G | 1 | D, E, F | | H | 1 | B | | I | 2 | G, H | **a) The correct precedence relationship with one of the possible assignment of tasks to workstations is shown in Fig. 2.** **b) The operating efficiency of the assembly line with 5 workstations shown in the figure chosen above = 93.3% (enter your response as a percentage rounded to one decimal place).** **c) The theoretical minimum number of workstations = [ ] (round your response up to the next whole number).** **Explanation of Diagrams:** - **Fig. 1**: This diagram illustrates a task flow where each task is connected by directed arrows, indicating the sequence in which tasks must be completed. - **Fig. 2**: This diagram shows the correct task sequencing according to the precedence requirements, effectively grouping tasks in an optimized manner for production efficiency. - **Fig. 3**: This alternative arrangement visualizes another possible task assignment, but it does not meet the optimal task grouping as Fig. 2 does. Each figure represents a possible configuration of the assembly line with tasks grouped at workstations, helping to ensure a smooth workflow with minimal delays.
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