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The Critical Path for This Network Is a - E

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The critical path for this network is A - E - F and the project completion time is 22 weeks.  The critical path for this network is A - E - F and the project completion time is 22 weeks.    \begin{array} { c c c c r }  \text { Activity } & \begin{array} { c }  \text { Normal } \\ \text { Time } \end{array} & \begin{array} { c }  \text { Crash } \\ \text { Time } \end{array} & \begin{array} { c }  \text { Normal } \\ \text { Cost } \end{array} & { \begin{array} { c }  \text { Crash } \\ \text { Cost } \end{array} } \\ \hline \text { A } & 12 & 8 & 8,000 & 12,000 \\ \text { B } & 14 & 10 & 5,000 & 7,500 \\ \text { C } & 8 & 8 & 10,000 & 10,000 \\ \text { D } & 5 & 3 & 6,000 & 8,000 \\ \text { E } & 4 & 3 & 5,000 & 7,000 \\ \text { F } & 6 & 5 & 9,000 & 12,000 \\ \text { G } & 10 & 8 & 5,000 & 8,000 \end{array}  If a deadline of 17 weeks is imposed, give the linear programming model for the crashing decision.  Activity  Normal  Time  Crash  Time  Normal  Cost  Crash  Cost  A 1288,00012,000 B 14105,0007,500 C 8810,00010,000 D 536,0008,000 E 435,0007,000 F 659,00012,000 G 1085,0008,000\begin{array} { c c c c r } \text { Activity } & \begin{array} { c } \text { Normal } \\\text { Time }\end{array} & \begin{array} { c } \text { Crash } \\\text { Time }\end{array} & \begin{array} { c } \text { Normal } \\\text { Cost }\end{array} & { \begin{array} { c } \text { Crash } \\\text { Cost }\end{array} } \\\hline \text { A } & 12 & 8 & 8,000 & 12,000 \\\text { B } & 14 & 10 & 5,000 & 7,500 \\\text { C } & 8 & 8 & 10,000 & 10,000 \\\text { D } & 5 & 3 & 6,000 & 8,000 \\\text { E } & 4 & 3 & 5,000 & 7,000 \\\text { F } & 6 & 5 & 9,000 & 12,000 \\\text { G } & 10 & 8 & 5,000 & 8,000\end{array} If a deadline of 17 weeks is imposed, give the linear programming model for the crashing decision.


Definitions:

Thermodynamics

The branch of physics that deals with the relationships between heat and other forms of energy, and how they affect matter.

Potential Energy

The energy possessed by a body by virtue of its position relative to others, stresses within itself, electric charge, and other factors.

Kinetic Energy

The energy that an object possesses due to its motion, directly proportional to the mass of the object and the square of its velocity.

Substrate

A surface or material on or from which an organism lives, grows, or obtains its nourishment.

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