IE math question: If takt time 40 min, manpower 50, Allowance 7%, BPT 0.75, working hour 10, bottleneck 1.25 then find out (A) Worker performance% and (B) Line balancing%

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Solution:

SMV= (Manpower x BPT) + Allowance

     = (50 x 0.75) + 7%

     = 37.5 + 7%

     = 40.12 min

                                           Manpower x working hour x 60

SMV based production=……………………………………………

                                                               SMV

 

                                     50 x 10 x 60 

                          = ……………………………..

                                            40.12

 

                                    30000

                               =………………..

                                     40.12

 

                          = 748 pcs

 

                                                     50 x 10 x 60

Takt time based production=…………………………

                                                           40

 

                                            30000

                                           =………………………

                                                         40

 

                                           =750 pcs

 

                             SMV based production

Performance=………………………………………

                           Takt time based production

 

                                  748

                     =…………………. X100

                                 750

 

                     =99.73% (Answer)

 

                                        BPT

Line balancing=…………………………………… x100

                              Bottleneck + Allowance

 

                                     0.75

                       =…………………………. x100

                                   1.33+7%

                                         0 .75

                        =………………………. x100

                            1.3375

                             

                         = 56.07% (Answer)