Consider the following precedence table and draw the network planv

Question

ScanSolve AI Tutor · Accepted Answer

To draw the network plan, we will follow the precedence rules given in the table.

Identify initial activities and draw the start node.
Activities E, G, and H have no preceding activities, so they all start from a common initial node (Node 1).
Draw activities with single predecessors.
- Activity F is preceded by E. So, F will start after E is completed.
- Activity I is preceded by F. So, I will start after F is completed.
Draw activities with multiple predecessors.
- Activity J is preceded by G, H, and I. This means G, H, and I must all be completed before J can begin. We will use a merge node to represent this.
Complete the network with the final activity and end node.
Activity J is the last activity, leading to the final end node.

Here is the network plan based on the precedence table:
\begin{tikzpicture}[node distance=2cm, auto, thick] % Nodes \node (start) [circle, draw] {1}; \node (E_end) [circle, draw, right of=start, xshift=1.5cm] {2}; \node (G_end) [circle, draw, below right of=start, yshift=0.5cm, xshift=0.5cm] {3}; \node (H_end) [circle, draw, below right of=start, yshift=-0.5cm, xshift=0.5cm] {4}; \node (F_end) [circle, draw, right of=E_end, xshift=1.5cm] {5}; \node (I_end) [circle, draw, right of=F_end, xshift=1.5cm] {6}; \node (J_start) [circle, draw, below right of=I_end, yshift=-1.5cm, xshift=-1.5cm] {7}; % Merge node for G, H, I \node (end) [circle, draw, right of=J_start, xshift=1.5cm] {8}; % Edges (Activities) \draw[->] (start) -- node {E} (E_end); \draw[->] (start) -- node {G} (G_end); \draw[->] (start) -- node {H} (H_end); \draw[->] (E_end) -- node {F} (F_end); \draw[->] (F_end) -- node {I} (I_end); % Merge for J \draw[->] (G_end) -- (J_start); \draw[->] (H_end) -- (J_start); \draw[->] (I_end) -- (J_start); \draw[->] (J_start) -- node {J} (end); \end{tikzpicture}
The network plan is shown above.
See diagram above

Consider the following precedence table and draw the network planv

Answer

Step-by-step solution

Identify initial activities and draw the start node.

Draw activities with single predecessors.

Draw activities with multiple predecessors.

Complete the network with the final activity and end node.

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