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Furniture Face Lift refinishes old wood furniture. Their process for refinishing

ID: 376338 • Letter: F

Question

Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 9 workers and 4 stations. Each chair starts at the Stripping station, then goes to Priming, then to Painting and finally to Inspection. Where there are multiple workers within a station, each worker works independently on his/her own chair. Assume inventory buffers are allowed between each station.

Station

Staffing

Processing time (hours per chair per worker)

Stripping

3

2.5

Priming

2

1.5

Painting

3

1.75

Inspection

1

0.8

Suppose at the start of the day there is no inventory of chairs in the shop. That is, there are no chairs within any of the stations or between them in any buffer. A truck loaded with 10 chairs arrives. How many hours will it take them to complete these 10 chairs?(The accuracy should be of two digits after the decimal places.)

Please share the explanation.

Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 9 workers and 4 stations. Each chair starts at the Stripping station, then goes to Priming, then to Painting and finally to Inspection. Where there are multiple workers within a station, each worker works independently on his/her own chair. Assume inventory buffers are allowed between each station.

Station

Staffing

Processing time (hours per chair per worker)

Stripping

3

2.5

Priming

2

1.5

Painting

3

1.75

Inspection

1

0.8

Suppose at the start of the day there is no inventory of chairs in the shop. That is, there are no chairs within any of the stations or between them in any buffer. A truck loaded with 10 chairs arrives. How many hours will it take them to complete these 10 chairs?(The accuracy should be of two digits after the decimal places.)

Please share the explanation.

Explanation / Answer

Station

Staffing

Processing time (hours per chair per worker)

Capacity = Staffing /Processing time

Stripping

3

2.5

3/2.5=1.2

Priming

2

1.5

2/1.5=1.33

Painting

3

1.75

3/1.75=1.714

Inspection

1

0.8

1/0.8=1.25

As stripping has the lowest capacity, thus it will be having bottleneck, therefore the process capacity is 1.2

Total time to produce the first chair =2.5+1.5+1.75+0.8=6.55 hr

Time to produce subsequent chai = 1/1.2=0.83 hrs

So total time taken to produce 10 chairs = 6.55+0.83*9 =14.02 hours

Station

Staffing

Processing time (hours per chair per worker)

Capacity = Staffing /Processing time

Stripping

3

2.5

3/2.5=1.2

Priming

2

1.5

2/1.5=1.33

Painting

3

1.75

3/1.75=1.714

Inspection

1

0.8

1/0.8=1.25