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

Essay

Use this information to answer the following questions.
Consider the following set of activities that need to be completed by a chef to cook dinner for a party of 30 guests.
$$\begin{array} { c l l } & \text { Immediate } \\\text { Activity } & \text { Predecessors } \\\hline \text { A } & - \\\text { B } & \text { A } \\\text { C } & \text { A } \\\text { D } & \text { B, C } \\\text { E } & \text { C } \\\text { F } & \text { D, E }\end{array}$$
-Refer to the information above.Assume that the chef was able to estimate the number of hours needed to complete each activity as follows.
$$\begin{array} { c c c c } \text { Activity } & \text { Optimistic time } & \text { Most Likely Time } & \text { Pessimistic Time } \\\text { A } & 1 & 2 & 3 \\\text { B } & 1 & 2 & 2 \\\text { C } & 2 & 3 & 4 \\\text { D } & 3 & 5 & 6 \\\text { E } & 4 & 5 & 6 \\\text { F } & 3 & 6 & 7\end{array}$$
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.