Determine the normal completion time and cost, Operation Management

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Atkinson department is installing new computer system. They have to perform several activities. Following table provides information about the project:

Activity

Immediate

Predecessor

Normal Time

(days)

Crash Time

(days)

Normal Cost ($)

Crash Cost($)

A

NONE

6

4

4200

7240

B

NONE

9

6

9800

14240

C

NONE

4

3

12000

12800

D

NONE

16

12

24000

25000

E

A

5

4

7800

9600

F

A

3

1

6700

7200

G

C

6

5

6600

7200

H

E,F

7

6

14500

15200

I

B

3

2

18000

19100

J

G

5

2

34060

38800

K

H

3

1

14000

15800

L

F, I

9

6

21000

25500

M

J

3

2

6000

6750

N

K

1

1

9500

9500

O

D,M

4

3

12500

13650

P

L,N,O

8

8

21000

21000

(a)    Draw network diagram for normal time?

(b)   What is the normal completion time and cost?

(c)    What are the critical activities and what is/are the critical path/s?

(d)   If you want to complete the project ONE day earlier, which activity or activities should be crashed?

(e)    After the crashing in part 'd' has been done, list ALL the paths in this network with the time required  for each path. Among the paths you stated which path/s is/are critical, Why?

(f)    After the crashing in part 'd' has been done, you want to reduce completion time by further ONE day. Which activity or activities should be crashed?

(g)   After the crashing in part 'f' has been done, list ALL the paths in this network with the time required  for each path. Among the paths you stated which path/s is/are critical, Why?

(h)   After the crashing in part 'f' has been done, you want to reduce completion time by further ONE day. Which activity or activities should be crashed?

(i)     After the crashing in part 'h' has been done, list ALL the paths in this network with the time required  for each path. Among the paths you stated which path/s is/are critical, Why?

Note: Beside Network diagram for part 'a', you have to draw network diagram for part d, f and h to support the work.

Part 'a' network diagram represent normal completion time: Part 'd' after crashing one day.

Part 'f' after crashing another day. : Part 'h' after crashing another day.

I am not asking maximum crashing.

Your network diagram should not have vertically upward, vertically downward and backward arrows.


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