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

question 21

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.

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Definitions:

Endosymbiotic Theory

A theory suggesting that some organelles, such as mitochondria and chloroplasts, were originally free-living bacteria that were taken inside another cell.

Organelles

Organelles are specialized structures within a cell that perform distinct functions, such as the mitochondria for energy production and the nucleus for genetic information storage.

Prokaryotic Cells

Cells without a distinct nucleus or other membrane-bound organelles, including the bacteria and archaea.

Nuclear Envelope

A double-layered membrane that encases the nucleus of a eukaryotic cell, separating its genetic material from the cytoplasm.