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Operations Management : critical path, time & slack

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The R&D dept. is planning to bid on a large project for the development of a new communication system for commercial planes. The accompanying table shows the activities, time & sequence required:
Activity Immediate predecessor Time (weeks)
A --- 3
B A 2
C A 4
D A 4
E B 6
F C,D 6
G D,F 2
H D 3
I E,G,H 3

A.) What is the critical path?
B.) Suppose you want to shorten the completion time as much as possible, & you have the option of shortening any or all of B,C,D, and G each one week. Which would you shorten?
C.) What is the new critical path & earliest completion time? (from b's answer I think)
Please solve using Microsoft Excel & show any work if possible. Thanks!

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This problem provides calculation of critical path, critical time and slack for problem on operations management.

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