Consider the following project consisting of activities given in the table. For the activity durations, optimistic, pessimistic and most likely estimates are on hand. Draw the AON network and answer the following questions. | Time (days) | | m| b| Predecessor Activity a A 3 6. 8. В 4 4 1 3 D E B,D F 6. 10 14 A,E 1 4 A,E H 3. 6. 9. I 10 11 12 G J 14 16 20 к 2 H,I 10 (a) Compute the expected completion time and the variance of the project (b) Find the critical path (c) Determine ES, EF, LS, LF, and slack for each activity (d) What is the probability that the project is finished in 40 days or less.
Critical Path Method
The critical path is the longest succession of tasks that has to be successfully completed to conclude a project entirely. The tasks involved in the sequence are called critical activities, as any task getting delayed will result in the whole project getting delayed. To determine the time duration of a project, the critical path has to be identified. The critical path method or CPM is used by project managers to evaluate the least amount of time required to finish each task with the least amount of delay.
Cost Analysis
The entire idea of cost of production or definition of production cost is applied corresponding or we can say that it is related to investment or money cost. Money cost or investment refers to any money expenditure which the firm or supplier or producer undertakes in purchasing or hiring factor of production or factor services.
Inventory Management
Inventory management is the process or system of handling all the goods that an organization owns. In simpler terms, inventory management deals with how a company orders, stores, and uses its goods.
Project Management
Project Management is all about management and optimum utilization of the resources in the best possible manner to develop the software as per the requirement of the client. Here the Project refers to the development of software to meet the end objective of the client by providing the required product or service within a specified Period of time and ensuring high quality. This can be done by managing all the available resources. In short, it can be defined as an application of knowledge, skills, tools, and techniques to meet the objective of the Project. It is the duty of a Project Manager to achieve the objective of the Project as per the specifications given by the client.
![Consider the following project consisting of activities given in the table. For the activity
durations, optimistic, pessimistic and most likely estimates are on hand. Draw the AON network and
answer the following questions.
| Time (days)
|m b Predecessor
Activity
a
A
3
6.
в
2
4
4
2
3
D
6.
7
E
4
6.
B,D
10
14
A,E
G
1
2
4
A,E
H
3
F
10
11
12
G
J
14
16
20
K
2
8
10
H,I
(a) Compute the expected completion time and the variance of the project
(b) Find the critical path
(c) Determine ES, EF, LS, LF, and slack for each activity
(d) What is the probability that the project is finished in 40 days or less.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a69db75-dd1c-4703-be8e-71c42c7f2799%2F1cd19231-bc4b-4ff5-aa68-5c306e4b9bf4%2Ffyph0nb_processed.png&w=3840&q=75)
![.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
.1
.5398
.5438
5478
.5517
5557
.5596
.5636
.5675
.5714
.5753
.2
.5793
.5832 5871 .5910
.5948
.5987
.6026
.6064
.6103
.6141
.3
.6179
.6217 6255
.6293
.6331
.6368
.6406
.6443
.6480
.6517
.4
.6554 .6591
.6628
.6664
.6700
.6736
.6772
.6808
.6844
.6879
.5
.6915
.6950
.6985
.7019
.7054
.7088
.7123
.7157
.7190
.7224
.6
.7257
.7291
.7324
.7357
.7389
.7422
.7454
.7486
.7517
.7549
.7
.7580
.7611
.7642
.7673
.7704
.7734
.7764
.7794
.7823
.7852
.8
.7881
.7910
.7939
.7967
.7995
.8023
.8051
.8078
8106
.8133
.9
.8159
.8186
.8212
.8238
.8264
.8289
.8315
.8340
.8365
.8389
1.0
.8413
.8438
.8461
.8485
.8508
.8531
.8554
.8577
.8599
.8621
1.1
.8643
.8665
.8686
.8708
.8729
.8749
.8770
.8790
.8810
.8830
1.2
.8849
.8869
.8888
.8907
.8925
.8944
.8962
.8980
.8997
.9015
1.3
.9032
.9049
.9066
.9082
.9099
.9115
9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236 9251
.9265
.9279
9292
.9306
.9319
1.5
.9332
.9345
.9357
.9370 9382
.9484
.9394
9406
.9418
.9429
.9441
.9452
.9554
.9463
.9564
1.6
9474
.9495
.9505
.9515
.9525
.9535
.9545
.9633
.9706
1.7
.9573
.9582
9591
.9599
9608
.9616
9625
1.8
.9641
9649
9656
.9664
9671
.9678
.9686
.9693
.9699
1.9
.9713
.9719
9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
9783
.9788 9793
.9798
.9803
9808
.9812
.9817
2.1
.9821
2.2 9861
.9826
.9830
.9834
.9838
.9842
.9846
.9850
.9854
.9857
.9864
.9868
9871
9875
.9878
9881
.9884
.9887
.9890
2.3
.9893
.9896
9898
.9901
.9904
9906
.9909
.9911
.9913
.9916
2.4
.9918
9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
.9941
.9943
9956 9957
9951
.9946
.9960
2.5
.9938 9940
.9945
.9948
.9949
.9952
2.6
.9953
.9955
.9959
.9961 .9962 9963
.9964
2.7
2.8
.9965
.9974 9975 9976 .9977 9977 9978
.9966
9967 9968
9969
9970 9971 9972 9973
.9974
.9979
.9979 9980
.9981
2.9
.9981
.9982
9982
.9983
.9984
.9984
.9985
.9985
.9986
.9986
3.0
.9987 9987 9987 9988 9988
9989
.9989
.9989
.9990
.9990
Figure 1: Z table](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a69db75-dd1c-4703-be8e-71c42c7f2799%2F1cd19231-bc4b-4ff5-aa68-5c306e4b9bf4%2F0qez0d_processed.png&w=3840&q=75)
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