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Use This Information to Answer the Following Questions -Refer to the Information Above

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Use this information to answer the following questions.
A university needs to prepare a banquet for its graduating seniors.The following information describes the relationships between the activities that need to be completed for this banquet.
 Immediate  Activity  Predecessors  A  B  C  A, B  D  C  E  C  F  D, E  G  E  H  F, G \begin{array} { c l l } & \text { Immediate } \\\text { Activity } & \text { Predecessors } \\ \text { A } & - \\\text { B } & - \\\text { C } & \text { A, B } \\\text { D } & \text { C } \\\text { E } & \text { C } \\\text { F } & \text { D, E } \\\text { G } & \text { E } \\\text { H } & \text { F, G }\end{array}
-Refer to the information above.Assume that the catering manager was able to estimate the number of hours needed to complete each activity as follows.
 Activity  Optimistictime  Most Likely Time  Pessimistic Time  A 235 B 467 C 345 D 235 E 123 F 5711 G 689 H 467\begin{array} { c c c c } \text { Activity } & \text { Optimistictime } & \text { Most Likely Time } & \text { Pessimistic Time } \\ \text { A } & 2 & 3 & 5 \\\text { B } & 4 & 6 & 7 \\\text { C } & 3 & 4 & 5 \\\text { D } & 2 & 3 & 5 \\\text { E } & 1 & 2 & 3 \\\text { F } & 5 & 7 & 11 \\\text { G } & 6 & 8 & 9 \\\text { H } & 4 & 6 & 7\end{array}
a.Use PERT to identify the expected time and variance for each activity.
b.What is the critical path?
c.What is the expected time and variance of the critical path?
d.Determine the expected completion time of the project.

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