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

question 53

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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.  Activity  Optimistic  Time (hr)  Most Probable  Time (hr)  Pessimistic  Time (hr)  Floor sanding 345 Floor buffing 123 Paint mixing 0.511.5 Wall painting 129 Ceiling painting 15.57\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.?


Definitions:

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Emotional appeals are persuasive techniques that aim to evoke an emotional response from the audience to influence their thoughts or actions.

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A formal letter sent to a company or individual, asserting one's right to request a correction, refund, or compensation for unsatisfactory goods or services.

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A metal alloy consisting of 92.5% pure silver and 7.5% other metals, often used for jewelry and silverware.

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The use of internet-based platforms and websites to build social relations with other people who share similar personal or career interests, activities, backgrounds, or real-life connections.

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