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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

Finance Feb 05, 2021

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: 20 units/hr C2_11 Station 1 Machine A Station 2 Station 3 Station 1 Capacity: Capacity: Machine B 3 units/hr 10 units/hr Capacity: 20 units/hr 

a) The bottleneck time of the system is____minutes per unit ?(enter your response as a whole? number).

b). _________is the bottleneck station

C)The throughput time is_______minutes ?(enter your response as a whole? number).

d) If the firm operates 9 hours per? day, 5 days per? week, the weekly capacity of this work cell is_______ units? (enter your response as a whole? number).

Expert Solution

1) Station 1 capacity is 40 units per hour, therefore station 2 is a bottleneck station with 3 units per hour capacity

a) The bottleneck time of the system is 20 minutes per unit. (60 minutes/3 units)

 

b) Station 2 is the bottleneck station.

 

c) Throughput time is the sum of the processing time that a product has to pass through. Time taken (Station 1+ Station 2+ Station 3) = 60/20 +60/3 +60/10 = 3 + 20 + 6 = 29 mins

The throughput time is 29 minutes.

 

d) Weekly Capacity in Units:

Weekly Capacity in Minutes = 9 hours*5 days * 60 minutes = 2,700 minutes

Weekly Capacity in Units = 2,700 minutes/20 minutes = 135 units

If the firm operates 9 hours per? day, 5 days per? week, the weekly capacity of this work cell is 135 units?

 

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