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:

United States

A country located primarily in North America, consisting of 50 states and a federal district, known for its large economy and diverse population.

Savings Rate

The proportion of disposable income that is saved by an individual or household instead of being spent.

Disposable Incomes

The financial sum available for households to spend and put aside for savings after income tax reductions.

Productivity Growth

An improvement in production effectiveness, characterized by the quantity of goods and services generated per unit of labor, capital, or other resources.