A construction project is broken down into the following 10 activities: b-1. Wha

Question

A construction project is broken down into the following 10 activities:

b-1. What is the critical path?

b-2. How many weeks will the project take to complete?

Number of weeks            

c. If activities 1 and 10 cannot be shortened, but activities 2 through 9 can be shortened to a minimum of one week each at a cost of $10,000 per week, which activities would you shorten to cut the project by three weeks? (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)

and then reduce activity 7 by one week.

2.)  

Here is a CPM network with activity times in weeks:

a. Determine the critical path.

b. How many weeks will the project take to complete?

Number of weeks            

ACTIVITY IMMEDIATE
PREDECESSOR TIME (WEEKS) 1 — 3 2 1 1 3 1 3 4 1 5 5 2,3 7 6 3 4 7 4 4 8 5 5 9 6,7 7 10 8,9 6

Explanation / Answer

PLEASE FIND BELOW ANSWER TO QUESTION 1 ( PART B1 and B.2) :

The precedence diagram of activities as follows :

                                                                                                                              1

                                      2

                                                        3

                 4

                                                   5

              6

                  7

                                                                         8

                                              9

                                                                                                                 10

The parallel paths and their corresponding durations as follows :

1-2-5-8-10 = 3 + 1 + 7 + 5 + 6 = 22 weeks

1-3-5-8-10 = 3 + 3 + 7 + 5 + 6 = 24 weeks

1-3-6-9-10 = 3 + 3 + 4 + 7 + 6 = 23 weeks

1-4-7-9-10 = 3 + 5 + 4 + 7 + 6 = 25 weeks

Since 1-4-7-9-10 has the longest duration., it is the critical path

Project completion time will be same as duration of critical path which is 25 weeks

CRITICAL PATH = 1-4-7-9-10

IT WILL TAKE 25 WEEKS FOR THE PROJECT TO COMPLETE

PLEASE FIND BELOW ANSWER TO QUESTION 2 :

The parallel paths and their corresponding durations as follows :

A-B-C-D = 4 + 4 + 6 + 5 = 19 weeks

A-E-G-C-D = 4 +3 + 4 + 6 + 5 = 22 weeks

A-E-F-D = 4 + 3 + 9 + 5 = 21 weeks

Out of above A-E-G-C-D has the longest duration and hence forms the critical path.

Duration of the project is same as duration of the critical path. Therefore , it will take 22 weeks to complete the project .

                                                                                                                              1

                                      2

                                                        3

                 4

                                                   5

              6

                  7

                                                                         8

                                              9

                                                                                                                 10

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