A Project Consists of Five Activities AConstruct the PERT/CPM Network for This Problem

Essay

A project consists of five activities.Naturally the paint mixing precedes the painting activities.Also,both ceiling painting and floor sanding must be done prior to floor buffing.
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$$\begin{array} { l c c c } \text { Activity } & \begin{array} { c } \text { Optimistic } \\\text { Time (hr) }\end{array} & \begin{array} { c } \text { Most Probable } \\\text { Time (hr) }\end{array} & \begin{array} { c } \text { Pessimistic } \\\text { Time (hr) }\end{array} \\\hline \text { Floor sanding } & 3 & 4 & 5 \\\text { Floor buffing } & 1 & 2 & 3 \\\text { Paint mixing } & 0.5 & 1 & 1.5 \\\text { Wall painting } & 1 & 2 & 9 \\\text { Ceiling painting } & 1 & 5.5 & 7\end{array}$$
a.Construct the PERT/CPM network for this problem.
b.What is the expected completion time of this project?
c.What is the probability that the project can be completed within 9 hr.?