A Network Consists of the Following List A Draw the Network Diagram

question 75

Essay

A network consists of the following list. Times are given in weeks.
$\begin{array}{|c|c|c|c|c|}\hline\text { Activity } & \text { Preceding } & \text { Optimistic } & \text { Probable } & \text { Pessimistic } \\\hline \text { A } & -- & 5 & 11 & 14 \\\hline \text { B } & - & 3 & 3 & 9 \\\hline \mathrm{C} & -- & 6 & 10 & 14 \\\hline \mathrm{D} & \mathrm{A}, \mathrm{B} & 3 & 5 & 7 \\\hline \mathrm{E} & \mathrm{B} & 4 & 6 & 11 \\\hline \mathrm{F} & \mathrm{C} & 6 & 8 & 13 \\\hline \mathrm{G} & \mathrm{D}, \mathrm{E} & 2 & 4 & 6 \\\hline \mathrm{H} & \mathrm{F} & 3 & 3 & 9 \\\hline\end{array}$
a. Draw the network diagram.
b. Calculate the expected duration and variance of each activity.
c. Calculate the expected duration and variance of the critical path.
d. Calculate the probability that the project will be completed in less than 28 weeks.

---

Definitions:

Cartel Arrangement

An agreement among competing firms to control prices or exclude entry of new competitors in a market, often to maximize their profits illegally.

Manufacturing Plant

A facility where raw materials are transformed into finished products through various processes and machinery, typically involving assembly lines and specialized equipment.

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded by consumers, typically downward sloping due to the law of demand.

Cost Function

A mathematical relationship that describes how the costs incurred by a company vary with the level of output or production.