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Problem 1:

Shirley Hopkins is developing a program in leadership training for middle-level managers. Shirley has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table.

Ac-nvnv

IMMEDIATE
PREDELIMOR(8)

TIME.
(DAYS)

Acnvrry

IMMEDIATE
PREDECESSOR(S)

TIME
(DAYS)

A

 

2

E

A. D

3

B

-

5

F

C

6

C

-

1

 

E. F

8

D

B

10

 

 

 

a) Develop an AON network for this problem.

b) What is the critical path?

c) What is the total project completion time?

d) What is the slack time for each individual activity?

Problem 2:

 

The following data on crash time and crash cost concern the following project.

Activity

Preceding Activity(ies)

Time (days)

Cost (Dhs'000)

 

 

Normal

Crash

Normal

Crash

A

None

6

4

48

66

B

A

3

2

30

42

C

A

5

4

40

50

D

B

14

11

70

91

E

C, D

12

9

72

90

F

D

10

8

80

104

G

D

7

6

56

68

H

B

14

10

84

120

I

F, G,H

4

3

48

64

J

I, E, G

12

10

84

110

a) What are the critical path and the duration of the project?

b) Determine the total cost of the project if the duration is crashed by 3 days.

c) What is the minimum time to complete the project and its total cost?

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