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Given the following network with activities and times estimated in days, Most Ac

ID: 453900 • Letter: G

Question

Given the following network with activities and times estimated in days,

                                                                                      Most                   

                                    Activity      Optimistic        Probable       Pessimistic

A               2

5

6

B                1

3

7

C                6

7

10

D               5

12

14

E                3

4

5

F                8

9

12

G               4

6

8

H               3

6

8

I                 5

7

12

J                12

13

14

K               1

3

4

          

A) Fill in all the blanks in the following table.

Note:

i) To reduce the computation load, please round the expected activity time (t) up to an integer if the computed expected activity time is not an integer. For example, if tA=4.15, round it up to 5.

ii) For variance (2) in activity time, keep two decimal places.

Activity

Precedence Activities

Expected Time t (days)

Varianc e 2

ES

LS

EF

LF

Slack

Critical Path?

A

B

C

D

E

F

G

H

I

J

K

B) What is the expected time and variance to complete the project?

C) What is the probability the project will take more than 28 days to complete?

D) Suppose activity G were delayed for 7 days. By how much would the entire project be delayed?

A               2

5

6

B                1

3

7

C                6

7

10

D               5

12

14

E                3

4

5

F                8

9

12

G               4

6

8

H               3

6

8

I                 5

7

12

J                12

13

14

K               1

3

4

          

Explanation / Answer

Expected time and variance of each activity is computed by the following formulas ,

Precedence activities are not provided in the question, so network diagram cannot be drawn.  For further solution, please provide the precedence activities for each activity.

µ = (to + 4tm + tp)/6 v = {(tp-to)/6 }2
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