s, the theoretical minimum number of workstations

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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### Assembly-Line Activities for Product Manufacturing

The table below outlines the tasks involved in the manufacturing of a product, including the performance time for each task and its predecessors.

#### Task Information

| Task | Performance Time (mins) | Predecessors |
|------|--------------------------|--------------|
| **A**  | 6                        | –            |
| **B**  | 4                        | A            |
| **C**  | 5                        | B            |
| **D**  | 3                        | B            |
| **E**  | 5                        | C            |
| **F**  | 2                        | C            |
| **G**  | 4                        | D, E, F      |
| **H**  | 2                        | G            |

#### Theoretical Minimum Number of Workstations

Given a 7-minute cycle time after allowances, the theoretical minimum number of workstations can be calculated. (Round your response to the nearest higher whole number.)

___

**Note:** To determine the theoretical minimum number of workstations, you would typically sum up all the performance times and then divide by the cycle time. The resulting number needs to be rounded up to the next whole number.

For example:
1. Sum of performance times = 6 + 4 + 5 + 3 + 5 + 2 + 4 + 2 = 31 minutes
2. Cycle time = 7 minutes
3. Theoretical minimum number of workstations = \( \lceil \frac{31}{7} \rceil = \lceil 4.43 \rceil = 5 \)

So, the theoretical minimum number of workstations for this product is 5.
Transcribed Image Text:### Assembly-Line Activities for Product Manufacturing The table below outlines the tasks involved in the manufacturing of a product, including the performance time for each task and its predecessors. #### Task Information | Task | Performance Time (mins) | Predecessors | |------|--------------------------|--------------| | **A** | 6 | – | | **B** | 4 | A | | **C** | 5 | B | | **D** | 3 | B | | **E** | 5 | C | | **F** | 2 | C | | **G** | 4 | D, E, F | | **H** | 2 | G | #### Theoretical Minimum Number of Workstations Given a 7-minute cycle time after allowances, the theoretical minimum number of workstations can be calculated. (Round your response to the nearest higher whole number.) ___ **Note:** To determine the theoretical minimum number of workstations, you would typically sum up all the performance times and then divide by the cycle time. The resulting number needs to be rounded up to the next whole number. For example: 1. Sum of performance times = 6 + 4 + 5 + 3 + 5 + 2 + 4 + 2 = 31 minutes 2. Cycle time = 7 minutes 3. Theoretical minimum number of workstations = \( \lceil \frac{31}{7} \rceil = \lceil 4.43 \rceil = 5 \) So, the theoretical minimum number of workstations for this product is 5.
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