The Model E extender fits with the 2 inch heavy duty hitches. The contract calls for 247 Model E extenders per week to be delivered in equal installments over the 16 weeks of the contract. The goal of Alpha Assemblies is to work 40 hours per week. The actual work time for completing the Model E extenders has been broken down by process in the table below. Also provided is the anticipated learning rate for each process. All processes must be performed in sequence and each step has its own separate and unique workcenter. To achieve the goal of working 40 hours per week or less, the cycle time must be lower than the takt time. What is the expected Cycle Time for Model E in Week 16? Note: learning is applied to the batch quantity per week. Do not try to break out the units within a week. ProcessTime Required per UnitPredecessor TaskLearning RateA9 82B12A86C18B81D9C90E12D80F17E88G14F 83H12G85I8H82

Cycle Time = 10.19482 minute

Explanation:

From the question :

The Model E can be illustrated perfectly as shown below:

ProcessTime Required         Predecessor Task           Learning Rate

                per Unit

A                  9                                                                          82

B                 12                                     A                                  86

C                 18                                     B                                  81

D                 9                                      C                                  90

E                 12                                     D                                  80

F                 17                                     E                                   88

G                 14                                     F                                   83

H                 12                                     G                                  85

I                   8                                      H                                  82

Now For the minutes per week for each Process; we have :

ProcessTime Required         Predecessor      Learning      Minutes

                per Unit                    Task                   Rate               (Week 16)

A                  9                                                      82               4.069096

B                 12                           A                         86               6.564098

C                 18                          B                          81               7.74841

D                 9                           C                          90              5.9049

E                 12                           D                         80               4.9152

F                 17                            E                         88               10.19482

G                 14                           F                         83              6.644165

H                 12                           G                        85              6.264075

I                   8                            H                        82              3.616974

The objective here is to determine the expected Cycle Time for Model E in Week 16

So, we can equally regard the Cycle Time = Bottleneck of Activity for Week 16.

Cycle Time = 10.19482 minute   in as much as it is the the largest activity time for the week 16

Given that the demand per week is : = 247

The available time per week = 40 hours = 40 × 60 hours = 2400 minutes

Talk Time = Available Time Per Week/Demand Per Week

Talk Time = 2400/247

Talk Time = 9.716599

Thus; here  the cycle time is greater than the talk time.