Question

The three stations 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/hrs

Station 1

Machine A

Station 1

Machine B

Capacity:30 units / hrs

Station 2

Capacity 12 units/hrs

Station 3

Capacity 4 units/hrs

A) The bottleneck time of the system is .......minutes per unit ( enter your response as  whole  number)

B) Station 1 or station 2 or station 3

C) the throughout time is ........... minutes ( enter your response as a whole number )

D) If the firm operates 11 hours  per days ,5 days per week, the weekly  capacity  of this work cell is .......units (Enter your response as a whole number)

Answer 1

Answer a: station 1 capacity is 60 units per hour (2 parallel machines), therefore station 3 is a bottleneck station with 4 units per hour capacity

Bottleneck time is cycle time if station 3= 60/4= 15 mins per unit

Answer b: station 3 is the bottleneck station

Answer 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) = 60/30 +60/12 +60/4= 2 + 5 + 15 = 22 mins

Answer d: Working hours= 11 hours for 5 days= 55 hours

The capacity of bottleneck= 4 units per hour

Total product per week= 55*4= 220 units

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