The three-station work cell illustrated in the figure below has a product that m

Question

The three-station work cell illustrated in the figure below has a product that must go through one of the two machines at station 1 (they are parallel) before proceeding to station 2 Capacity: 30 units/hr Station 1 Machine A Station 2 Station 1 MachineB Capacity 5 units/hr Station 3 Capacity: units/hr Capacity. 30 units/h a) The bottleneck time of the system is 5 minutes per unit (enter your response as a whole number). b) Station 3 is the bottleneck station. c) The throughput time is 11 minutes (enter your response as a whole number). d) If the firm operates 10 hours per day, 5 days per week, the weekly capacity of this work cell is units (enter your response as a whole number)

Explanation / Answer

Solution:

From the given capacity of each station, processing time can be calculated.

Station 1, Machine A:

Capacity = 30 units/hour

1 hour = 60 minutes

Processing time = 60 minutes / 30 units

Processing time = 2 minutes per unit

Station 1, Machine B:

Capacity = 30 units/hour

Processing time = 2 minutes per unit

Station 2:

Capacity = 15 units/hour

Processing time = 60 minutes / 15 units = 4 minutes per unit

Station 3:

Capacity = 12 units/hour

Processing time = 60 minutes / 12 units = 5 minutes per unit

(a) Bottleneck process in a system is the process that takes highest processing time. From the above calculations, station 3 takes the maximum processing time of 5 minutes per unit. Therefore,

Bottleneck time of the system = 5 minutes per unit

(b) From the above calculations, station 3 has the highest processing time per unit (5 minutes) among stations 1, 2 and 3. Therefore,

Station 3 is the bottleneck station.

(c) Throughput time is calculated as,

Throughput time = Sum of processing time at all the stations

Throughput time = 2 minutes + 4 minutes + 5 minutes

Throughput time = 11 minutes

(d) Weekly capacity is calculated as,

Weekly capacity = Working hours per day x Working days per week x Bottleneck capacity

Bottleneck capacity = 12 units per hour (Station 3)

Putting the given values in the above formula, we get,

Weekly capacity = Working hours per day x Working days per week x Bottleneck capacity

Weekly capacity = 10 hours per day x 5 days per week x 12 units per hour

Weekly capacity = 600 units

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