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Three Critical Path Activities Are Candidates for Crashing on a CPM

Question 122

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Three critical path activities are candidates for crashing on a CPM network. Activity details are in the table below.
 Activity  Normal Time  Normal Cost  Crash  Duration  Crash Cost X8 days $6,0006 days $8,000Y3 days $1,8002 days $2,400Z12 days $5,0009 days $7,700\begin{array} { | c | c | c | c | c | } \hline \text { Activity } & \text { Normal Time } & \text { Normal Cost } & \begin{array} { c } \text { Crash } \\\text { Duration }\end{array} & \text { Crash Cost } \\\hline \mathrm { X } & 8 \text { days } & \$ 6,000 & 6 \text { days } & \$ 8,000 \\\hline \mathrm { Y } & 3 \text { days } & \$ 1,800 & 2 \text { days } & \$ 2,400 \\\hline \mathrm { Z } & 12 \text { days } & \$ 5,000 & 9 \text { days } & \$ 7,700 \\\hline\end{array} a. What is the crash cost per unit
time for each of the three activities?
b. Which activity should be crashed first to cut one day from the project's duration; how much is added to project cost?
c. Which activity should be the next activity crashed to cut a second day from the project's duration; how much is added to project cost?

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(a) crash cost X = $1,000 per ...

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