QUESTION 28 We have a project that needs to be crashed. There is only one critic

Question

QUESTION 28 We have a project that needs to be crashed. There is only one critical path for the project. The tasks for this project, as well as a normal task time (in weeks), time when fully crashed (in weeks), cost to fully crash, and whether or not it is on the critical path, is gliven below. Time Cost to Critical Normal WhenFully Task Task Time Fully Crash $800 No $550 No $700 No $850 Yes $600 No $1000 Yes $1150 Yes $700 No 9 8 $1200 Yos $1050 Yes 5 10 10 10 10 12 10 If we were to crash this project, which of these tasks would we crash first?

Explanation / Answer

For crashing the project, any of the critical activities have to be crashed.

Calculate crash cost per unit time (crash cost slope) for critical activities. The critical activity with the least crash cost slope has to be crashed first.  

Crash cost per unit time = Cost to fully crash / (Normal task time - Time when fully crashed)

Crash cost slope of activity D = 850/(10-8) = 425

Crash cost slope of activity F = 1000/(10-7) = 333

Crash cost slope of activity G = 1150/(11-9) = 575

Crash cost slope of activity I = 1200/(9-8) = 1200

Crash cost slope of activity J = 1050/(12-10) = 525

Activity F has the least crash cost slope. Therefore it has to be crashed first.

ANSWER: F

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