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The R&D department is planning to bid on a large project to develop a new communication system for commercial planes. The accompanying table shows the activities, times, and sequences required:

a. Draw the network diagram.

b. What is the critical path?

c. Suppose you want to shorten the completion time as much as possible, and you have the option of shortening any or all of B, C, D, and G each one week. Which would you shorten?

d. What is the new critical path and earliest completion time?

Short Answer

Expert verified

Answer

The critical path technique, also known as critical route analysis, is a timing strategy for collecting project tasks. It is frequently used in tandem with the program evaluation and reviewing approach.

Step by step solution

01

(a) The network diagram

By using the below table, we can create a network diagram for the given data:

02

(b) The critical path

The total time of each path is given below:

Two paths in particular A-C-F-G-I and A-D-F-G-I include the most significant length of time of 18 weeks. Accordingly, both would be considered the basic way of the task.

03

(c) The completion time

The completion season of the venture is 18 weeks. One can abbreviate the completion time by lessening exercises that are normal in the two paths. Accessible exercises that can be abbreviated by multi-week are B, C, D, and G. Since basic paths convey exercises C, D, and G, every one of the three exercises is diminished by multi-week.

04

(d) The new critical path and earliest completion time

When C, D, and G exercises are decreased by multi-week, new critical paths are A-C-F-G-1 and A-D-F-G-I.

In this manner, the new critical way would stay the same: A-C-F-G-I and A-D-F-G-I.

The earliest completion time for both the new critical paths is determined as shown beneath:

• A-D-F-G-I = 3+3+6+1 + 3 = 16 weeks

• A-C-F-G-I = 3 + 3 + 6 + 1 + 3 = 16 weeks

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