Question

A partially solved PERT problem is detailed in the table below. Times are given in weeks....

A partially solved PERT problem is detailed in the table below. Times are given in weeks.

Activity

Immediate

Predecessor(s)

Optimistic

Most Likely

Pessimistic

A

--

8

10

15

B

--

7

8

9

C

A

5

6

10

D

A

3

3

3

E

B,D

1

5

9

F

B,D

4

7

10

G

C

3

8

10

H

E

5

7

9

I

E

4

5

8

J

F

2

5

8

K

H, I

1

3

6

a) Calculate the expected duration (D), and variance of each activity.

b) Calculate ES, EF, LS, LF, S) for each activity.

ET

Variance

ES

EF

LS

LF

S

A

B

C

D

E

F

G

H

I

J

K

c) Which activities form the critical path?

A) ADEHK

B) ACG

     C) ABEK

     D) ADEIK

     E) BFJ

     F) BEHK

d) What is the estimated time of the critical path? ( …… ) weeks

e) If the project is due to be completed in 35 weeks, what is the probability that the project will be completed on the due date? ( … %) ?

f) If the project manager wants at least a 95% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager? ( …… ) weeks

g) Which activity (ies) can be delayed 1.67 weeks without impacting the expected project completion date?

A) I

B) A

     C) C

     D) F and G

     E) I and J

    

h) How many week(s) can you delay the activity J, without impacting the expected project completion date? ( ….. ) weeks

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