Question

In: Operations Management

The process flow diagram for an office chair is shown below. There are three steps on...

The process flow diagram for an office chair is shown below. There are three steps on a worker-paced line, and no inventory is stored between the steps. The processing times are:

  • Base: 6 minutes/unit
  • Upholstery: 10 minutes/unit
  • Assembly: 8 minutes/unit

Demand rate is 7 units/hour.

What is the resource utilization at each unit? (Assume that there is sufficient input for the process).

Resource Utilization = Flow Rate/ resource capacity

Raw material - Base (6min/ unit)- upholstery (10 min/unit) - assembly (8 min/unit) - finished units

10units/hr(Base) 6 units/ hr ( Upholestry) 7.5 units/hr(assembly)

Solutions

Expert Solution

Processing Time of Base = 6 minutes per unit

Total Quantity assembled in 1 hour = 10 units

Processing Time of Upholstery = 10 minutes per unit

Total Quantity assembled in 1 hour = 6 units

Processing Time of assembly = 8 minutes per unit

Total Quantity assembled in 1 hour = 7.5 units

As per bottleneck, only 6 units will be manufactured during one hour.

Total Time used of Base = 6*6 = 36 minutes

Total Unused time of Base = 60 - 36 = 24 minutes

Total Time used of Upholstery = 10*6 = 60 minutes

Total Unused time of Upholstery = 60 - 60 = 0 minutes

Total Time used of Assembly = 8*6 = 48 minutes

Total Unused time of Assembly = 60 - 48 = 12 minutes

Total Unused Time = 24+0+12 = 36 minutes

Resource Utilization = (Total Time - Unused Time) / Total Time

Resource Utilization = (3*60 - 36)/ (3*60)

Resource Utilization = (180-36)/180

Resource Utilization = 0.80

Resource Utilization = 80%


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