s, the theoretical minimum number of workstations

Managerial Accounting: The Cornerstone of Business Decision-Making
7th Edition
ISBN:9781337115773
Author:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Publisher:Maryanne M. Mowen, Don R. Hansen, Dan L. Heitger
Chapter11: Performance Evaluation And Decentralization
Section: Chapter Questions
Problem 12MCQ: (Appendix 11A) The length of time it takes to produce a unit of output from the time raw materials...
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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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