A Project Has the Following Activities,precedence Relationships,and Time Estimates in Weeks

question 63

Essay

A project has the following activities,precedence relationships,and time estimates in weeks: $$\begin{array} { c c c c c } \text { Activity } & \begin{array} { c } \text { Immediate } \\\text { Predecessor } \\\text { Activities }\end{array} & \begin{array} { c } \text { Optimistic } \\\text { Time } \left( t _ { 0 } \right)\end{array} & \begin{array} { c } \text { Most Likely } \\\text { Time } \left( t _ { \mathrm { m } } \right)\end{array} & \begin{array} { c } \text { Pessimistic } \\\text { Time } \left( t _ { \mathrm { p } } \right)\end{array} \\\hline \text { A } & - \cdot & 15 & 20 & 25 \\\text { B } & - & 8 & 10 & 12 \\\text { C } & \text { A } & 25 & 30 & 40 \\\text { D } & \text { B } & 15 & 15 & 15 \\\text { E } & \text { B } & 22 & 25 & 27 \\\text { F } & \text { E } & 15 & 20 & 22 \\\text { G } & \text { D } & 20 & 20 & 22 \\\hline \hline\end{array}$$
a. Compute the expected time and variance for each activity.
b. Determine the critical path and the expected duration of the project.
c. What is the probability that the project will take longer than 56 weeks to complete?

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Definitions:

Independent

Not influenced or controlled by others; operating freely.

Reward Power

A form of power that stems from the ability to bestow rewards on others, often used as a motivational tool in various contexts, including leadership and management.

Special Bonuses

Additional rewards or compensation offered beyond what is standard, often used to incentivize or reward.

Distributors

Businesses or entities that purchase products from manufacturers and then sell them to retailers or directly to the end-users.