An agriculture equipment manufacturer has a sub-assembly production line where eight steps or tasks must be performed (outlined in the table below with all relevant information). Daily demand (required output rate) is 54 units and there are 960 minutes available each day to meet this production quota.Task Req'd Time (in minutes) Predecessor A 9 NoneB 5 AC 5 BD 7 BE 13 CF 3 CG 7 D, E, FH 3 G What is the total time (in minutes) for this production line? What is the takt time (in minutes) for this production line? (Round your answer to a one decimal place.) What is the theoretical minimum number of workstations required for this production line? (Round up your answer to the nearest whole number.) Given your task assignments to workstations, what is the actual number of workstations required? What is the cycle time (in minutes) for this production line? What is the overall efficiency for this production line? (Write your answer as a percentage, and display your answer to two decimal places.) %
Question
An agriculture equipment manufacturer has a sub-assembly production line where eight steps or tasks must be performed (outlined in the table below with all relevant information). Daily demand (required output rate) is 54 units and there are 960 minutes available each day to meet this production quota.Task Req'd Time (in minutes) Predecessor A 9 NoneB 5 AC 5 BD 7 BE 13 CF 3 CG 7 D, E, FH 3 G What is the total time (in minutes) for this production line? What is the takt time (in minutes) for this production line? (Round your answer to a one decimal place.) What is the theoretical minimum number of workstations required for this production line? (Round up your answer to the nearest whole number.) Given your task assignments to workstations, what is the actual number of workstations required? What is the cycle time (in minutes) for this production line? What is the overall efficiency for this production line? (Write your answer as a percentage, and display your answer to two decimal places.) %
Solution
To answer these questions, we need to follow several steps:
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Total time for the production line: This is the sum of the required time for all tasks. So, we add up the times for tasks A through H: 9 + 5 + 5 + 7 + 13 + 3 + 7 + 3 = 52 minutes.
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Takt time: This is the available production time per day divided by the daily demand. So, we divide 960 minutes by 54 units: 960/54 = 17.8 minutes/unit (rounded to one decimal place).
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Theoretical minimum number of workstations: This is the total time divided by the takt time. So, we divide 52 minutes by 17.8 minutes/unit: 52/17.8 = 2.92. Since we can't have a fraction of a workstation, we round up to 3 workstations.
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Actual number of workstations required: This depends on the specific task assignments to workstations, which are not provided in the question. Therefore, I can't provide an answer to this question.
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Cycle time: This is the maximum time spent at any one workstation. Without specific task assignments, we can't calculate this. However, in a balanced line, cycle time should be equal to takt time, so it would be 17.8 minutes.
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Overall efficiency: This is the ratio of the total time to the product of the number of workstations and the cycle time. Without knowing the actual number of workstations and the cycle time, we can't calculate this. However, in a perfectly balanced line, efficiency would be 100%.
Please note that the actual number of workstations, cycle time, and overall efficiency can't be calculated without more information about the task assignments to workstations.
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