B. What is the process time of the system? C. What is the process cycle time? D.
ID: 414990 • Letter: B
Question
B.
What is the process time of the system?
C.
What is the process cycle time?
D. If the firm operates 10 hours per day, 5 days per week, what is the weekly capacity of this work cell?
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 3 | Station 1|| Machine B Capacity: 30 units/hr Capacity: 10 units/hr Capacity: 2 units/hr a) The bottleneck time of the system is minutes per unit (enter your response as a whole number).Explanation / Answer
Since Machine A and Machine B are parallel at Stage 1, 2 products can be processed simultaneously at this stage.
Since each machine can process 30 units per hour ,
Effective capacity of Stage 1 = 30 x 2 = 60 units per hour
The bottleneck station will be the one which has the least capacity to process per hour.
Given are the following data :
Effective capacity of Station 1 ( as calculated ) = 60 units per hour
Capacity of station 2 = 10 units/ hour
Capacity of station 3 = 2 units / hour
Therefore , bottleneck station is station 3 with capacity to produce 2 units per hour
Therefore , bottleneck time of the system = 1 hour/ 2 units = 60 minutes/ 2 units = 30 minutes/ unit
BOTTLENECK TIME OF THE SYSTEM IS 30 MINUTES / UNIT
Process time of the system
= Processing time / unit at station 1 ( any of the machines) + Processing time at station 2 + processing time at station 3
= 1/ Capacity + 1 / Capacity + 1/ Capacity
= 60 minutes/30 units + 60 minutes/ 10 units + 60 minutes / 2 units
= 2 minutes + 6 minutes + 30 minutes
= 38 minutes
PROCESS TIME OF THE SYSTEM = 38 MINUTES
Process cycle time is decided by cycle time of the bottleneck station i.e. station 3 = 1 hour/ 2 units = 60/2 = 30 minutes per unit
PROCESS CYCLE TIME = 30 MINUTES PER UNIT
Weekly available time per week = 60 minutes/ hour x 10 hours/ day x 5 days/ week = 3000 minutes
Weekly capacity of the work cell = Weekly available time per week / Process cycle time = 3000 / 30 = 100 units
WEEKLY CAPACITY OF THE WORK CELL = 100 UNITS
BOTTLENECK TIME OF THE SYSTEM IS 30 MINUTES / UNIT
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