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1. What is the additional cost for reducing the project time to the required 35

ID: 434260 • Letter: 1

Question

1. What is the additional cost for reducing the project time to the required 35 weeks? Which specific tasks do you recommend crashing in order to achieve this milestone? Breifly explain why you selected those tasks? The aim with question is for you to intuitively select the task(s) to crash in order to bring the project to completion in 35 weeks, and to explain why you chose those tasks to crash. There is no right / wrong answer (per se), this question is asking you to make a judgement call on which task(s) to crash to reach 35 weeks (and why).

2. What is the impact on the crashing solution (from Question #1) if the expected time for task B is increased from seven to nine weeks? (Hint: This is a basic What-If analysis, based on your response to Question #3. Please note that Task B has a large amount of slack.)

3. What is the impact on the crashing solution (from Question #1) if the Expected Time for task D is decreased to seven weeks?

Task Expected Time Variance Earliest Start Time Earliest Finish Time Lastest Start Time Lastest Finish Time Slack A 3.00 0.11 0.00 3.00 0.00 3.00 0.00 B 7.00 1.00 3.00 10.00 19.50 26.50 16.50 C 6.33 0.44 3.00 9.33 3.00 9.33 0.00 D 8.33 2.78 9.33 17.67 9.33 17.67 0.00 E 8.83 0.25 17.67 26.50 17.67 26.50 0.00 F 5.00 0.11 26.50 31.50 26.50 31.50 0.00 G 6.17 1.36 17.67 23.83 25.33 31.50 7.67 H 4.17 0.69 26.50 30.67 27.33 31.50 0.83 I 2.00 0.00 10.00 12.00 29.50 31.50 19.50 J 5.50 3.36 31.50 37.00 31.50 37.00 0.00 K 3.00 0.11 37.00 40.00 37.00 40.00 0.00

Explanation / Answer

1.

The project duration can be shortened by crashing the critical activities. Based on the given values, activity A, C, D, E, F, J, and K are critical as they have slack equal to zero. Five days (40 - 35 = 5) crashing should be done sequentially crashing one week at a time. For doing this crashing in a minimum cost manner, the following information is essential.

We can pinpoint the crashing plan (i.e which activities among A, C, D, E, F, J, and K and by how many weeks) if the above information is given.

2.

Activity B has a slack of 16.5 weeks. So, an increase in expected time from 7 to 9 weeks (i.e. 2 weeks increase) should not affect the overall duration of the project. The crashing solution will also not get affected.

3.

Since D is on the critical path, this reduction of expected time will reduce the project duration and crashing solution. However, the impact of change can be clear only when the precedence relationship is given. So, for an exact answer, please provide the precedence relationship.