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Consider the project shown above. Max Crash time indicates the most number of we

ID: 447034 • Letter: C

Question

Consider the project shown above. Max Crash time indicates the most number of weeks that can be crashed (Normal time – crash time).

a) Draw the network diagram and find the critical path, time and cost for an all-normal level of project activity.

b) Calculate the crash cost-per-week assuming that all activities may be partially crashed (except A and E which cannot be crashed).

c) Which tasks should be crashed to do the project in 16 weeks? What is the project cost?

d) Which tasks should be crashed to do the project in 15 weeks? What is the project cost?

e) Calculate the shortest delivery time for the project. What is the cost?

Crash Cost $150 400 310 240 250 260 290 420 400 Task Predecessor Normal Time Normal Cost Max Crash Weeks Time $150 200 3 Emgt 3320 HW 5 s16.pdf B,C 200 250 200 250 300 200 D,E G,H

Explanation / Answer

a. network diagram

Critical path

Activity 1. A-C-E-H-I=14 weeks

Activity 2. A-C-D-H-I=16 weeks

Activity 3.A-B-D-H-I=17 weeks

Activity 4. A-B-F-G-I=16 weeks

The critical path is .A-B-D-H-I=17 weeks

total cost for the activities

Activity 3.A-B-D-H-I=17 weeks

normal costs= 1050

Activity 4. A-B-F-G-I=16 weeks

normal costs= 1000

c. For completing the activity in 16 weeks the organization can opt for the activity ABFGI. the project cost will be $1000

d. To do the project in 15 week the task in critical path I can be crashed. the total cost will be then $850 (1050-200).

e. The shortest delivery time will be 14 weeks ACEHI 3+3+2+4+2=14 weeks

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