Please include a complete step-by-step solution. I shall be thankful :| A proces
ID: 354122 • Letter: P
Question
Please include a complete step-by-step solution. I shall be thankful :|
A processing system is shown below along with the amount of work required at each of 9 stations. A product is made up of two sub assemblies, one sub assembly from D-E-F and one from G-H-l. These two sub assemblies are brought together at station A. Assume that very little inventory if any, is kept between any two stations and ignore the time it takes to move the product between stations. Assume there is one person working at each station. What is the possible output per hour for the product? 120 0% 30 sec 28 sec 14 sec 50 sec 18 sec 30 sec 24 sec 28 sec 19 sec A-BC SR - Sub Assemblies can pass through DEF at a rate of 3600/50 Sub Assemblies can pass through GHI at a rate of 3600/28- Final stage ABC can produce at a rate of 3600/30 per hour per hour per hourExplanation / Answer
There are three sub-processes :
The capacity of each subprocess will be decided by the bottleneck activity. Bottleneck activity is the one which has maximum processing time.
As it can be seen,
a)Activity D has the maximum processing time of 50 secondsin the subprocess D-E-F and therefore is the bottleneck operation. Therefore , capacity of subprocess D-E-Fis 50 seconds per unit
b) Activity H has the maximum processing time of 28 seconds in the subprocess G-H-I and therefore is the bottleneck operation. Therefore, capacity of subprocess G-H-I is 28 seconds per unit
c) Activity A has the maximum processing time of 30 seconds in the subprocess A-B-C- and therefore is the bottleneck operation . Therefore , capacity of the subprocess A-B-C is 30 seconds/ unit
Therefore , number of units subassembly D-E-Fcan process per hour ( 3600 seconds) = 3600/50 = 72 per hour
Number of units subassembly G-H-I can process per hour ( 3600 seconds ) = 3600/28 = 128.57 per hour
Number of units A-B-C can process per hour ( 3600 seconds ) = 3600 / 30 = 120per hour
SUBASSEMBLIES CAN PASS THROUGH D-E-F AT A RATE OF 72 PER HOUR
SUBASSEMBLIES CAN PASS THROUGH G-H-I AT A RATE OF 128.57 PER HOUR
FINAL STAGE A-B-C CAN PRODUCE AT A RATE OF 120 PER HOUR
SUBASSEMBLIES CAN PASS THROUGH D-E-F AT A RATE OF 72 PER HOUR
SUBASSEMBLIES CAN PASS THROUGH G-H-I AT A RATE OF 128.57 PER HOUR
FINAL STAGE A-B-C CAN PRODUCE AT A RATE OF 120 PER HOUR