Consider the Network Described in the Table Below A Calculate the Expected Duration of Each Activity

question 18

Essay

Consider the network described in the table below.
$\begin{array} { | c | c | c | c | c | } \hline \text { Activity } & \begin{array} { c } \text { Immediate } \\\text { Predecessor(s) }\end{array} & \text { Pessimistic } & \text { Probable } & \text { Optimistic } \\\hline \mathrm{J} & -- & 15 & 10 & 8 \\\hline \mathrm{K} & -- & 9 & 8 & 7 \\\hline \mathrm{L} & \mathrm{J} & 10 & 6 & 5 \\\hline \mathrm{M} & \mathrm{J} & 3 & 3 & 3 \\\hline \mathrm{N} & \mathrm{K}, \mathrm{M} & 9 & 5 & 1 \\\hline \mathrm{O} & \mathrm{K}, \mathrm{M} & 10 & 7 & 4 \\\hline \mathrm{P} & \mathrm{L}, \mathrm{N} & 10 & 8 & 3 \\\hline\end{array}$
a. Calculate the expected duration of each activity.
b. Calculate the expected duration and variance of the critical path.
c. Calculate the probability that the project will be completed in fewer than 30 time units.

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Definitions:

Diminishing Marginal Utility

The principle that as a person increases consumption of a product, there is a decline in the additional satisfaction or utility that person gains from consuming one more unit of the product.

Demand Curve

A graph showing the relationship between the quantity of a good that consumers want to buy and its price.

Downward Slope

A graphical representation indicating a decrease or decline in value, often used in reference to graphs showing relationships such as demand curves.

Topographical Map

A type of map characterized by large-scale detail and quantitative representation of relief, usually using contour lines.