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

Question

Furniture Face Lift refinishes old wood furniture. Their process for refinishing chairs has 7 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

1

2.5

Painting

2

1.75

Inspection

1

0.8

What is the maximum number of chairs per hour that can be produced? Assume they start the day with inventory at each station to work on.(The accuracy should be of two digits after the decimal places.)

Please include the explanation.

Station

Staffing

Processing time (hours per chair per worker)

Stripping

3

2.5

Priming

1

2.5

Painting

2

1.75

Inspection

1

0.8

Explanation / Answer

As per the bottleneck process, priming hourly maximum will be 0.40 chairs per hour.

But if there is enough inventory then the max chairs is 1.25 chairs/hour

Station Staffing Processing time (hours per chair per worker) Chairs in 1 hour per worker Total chairs Stripping 3 2.5 0.40 1.20 Priming 1 2.5 0.40 0.40 Painting 2 1.75 0.57 1.14 Inspection 1 0.8 1.25 1.25

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