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PROBLEM 1 The \( A B C \) Manufacturing Company is considering the construction of a new factory building. The following list shows the project activities, precedence relations and time estimates. a) Develop a CPM network for the project using the EON/AOE approach. b) Identify the critical path. c) Compute the total and free floats for the activities. \begin{tabular}{|c|l|c|c|} \hline Activity & \multicolumn{1}{|c|}{ Description } & \begin{tabular}{c} Immediate \\ Predeoessor(s) \end{tabular} & Time \\ \hline A & Problem definition & - & 3 \\ \hline B & Preliminary study of costs and constraints & A & 3 \\ \hline C & Analysis of problems in existing building & A & 3 \\ \hline D & Incorporation of requirements in new building & C & 5 \\ \hline E & Detailed drawings of new building & B, C & 6 \\ \hline F & Contractor building a prototype & D, E & 9 \\ \hline G & Cost analysis & E & 5 \\ \hline H & Engineers reviewing feasibility & G & 3 \\ \hline I & Contractor building the factory & G, F & 5 \\ \hline J & Building inspection & I, H & 6 \\ \hline K & Final plant layout & J & 4 \\ \hline \end{tabular} PROBLEM 2 Draw a PERT network diagram for a construction project with the activity information given below. a) Identify the critical path. b) Determine the probability of completing the project in two years (104 weeks).