cALCULATING THE SLACK, es,ef, ls, lf, Operation Management

cALCULATING THE SLACK, es,ef, ls, lf, Operation Management

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Time (in Days)

Activity

Immediate Predecessor

Optimistic

Most Likely

Pessimistic

A

-

3

6

8

B

-

2

4

4

C

-

1

2

3

D

C

6

7

8

E

B, D

2

4

6

F

A, E

6

10

14

G

A, E

1

2

4

H

F

3

6

9

I

G

10

11

12

J

C

14

16

20

K

H, I

2

8

10

a. Draw the network diagram.

b. Calculate the expected (mean) completion time and its standard deviation for each activity.

c. Calculate the path mean and the path standard deviation for all of the possible paths.

d. Identify the critical path and critical activities.

e. What are the expected project completion time and variance?

f. What is the probability that the project:

i) will be completed within 38 days?

ii) will take more than 35 days to complete?

iii) will take between 35 and 38 days to complete?

Note: use the short method to compute the above probabilities.

g. Within how many days does the project have a 90% probability of completion?

h. Using the expected (mean) completion time, calculate the ES, EF, LS, LF, and slack for each activity.

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