## 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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