Table 3.5
$$\begin{array} { | c | c | c | }
\hline \text { Activity } & \begin{array} { c }
\text { Immediate } \
\text { Predecessor(s) }
\end{array} & \begin{array} { c }
\text { Time } \
\text { (weeks) }
\end{array} \
\hline \text { A } & \cdots & 6 \
\text { B } & \cdots & 3 \
\text { C } & \text { A,B } & 2 \\
\text { D } & \text { A } & 6 \
\text { E } & \text { C } & 2 \
\text { F } & \text { D,E } & 2 \
\text { G } & \text { C } & 8 \
\hline
\end{array}$$
-Using Table 3.5,what is the earliest completion time of this project?
A) less than or equal to 12 weeks
B) greater than 12 weeks but less than or equal to 14 weeks
C) greater than 14 weeks but less than or equal to 16 weeks
D) greater than 16 weeks

Question

Table 3.5
 $$\begin{array} { | c | c | c | } 
\hline \text { Activity } & \begin{array} { c } 
\text { Immediate } \
\text { Predecessor(s) }
\end{array} & \begin{array} { c } 
\text { Time } \
\text { (weeks) }
\end{array} \
\hline \text { A } & \cdots & 6 \
\text { B } & \cdots & 3 \
\text { C } & \text { A,B } & 2 \\
\text { D } & \text { A } & 6 \
\text { E } & \text { C } & 2 \
\text { F } & \text { D,E } & 2 \
\text { G } & \text { C } & 8 \
\hline
\end{array}$$
-Using Table 3.5,what is the earliest completion time of this project?
A) less than or equal to 12 weeks
B) greater than 12 weeks but less than or equal to 14 weeks
C) greater than 14 weeks but less than or equal to 16 weeks
D) greater than 16 weeks

Quizplus · Accepted Answer

By following the given precedence relationships and activity times, we can construct the network diagram as shown below.

![image.png](attachment:image.png)

The earliest start and finish times (ES and EF) and latest start and finish times (LS and LF) for each activity are calculated using forward and backward pass methods, respectively. The earliest completion time (ECT) is the maximum EF value among all activities, which is 16 weeks (for activity F). Therefore, the answer is (C) greater than 14 weeks but less than or equal to 16 weeks.

The best choice is to focus on critical activities, which are those with zero slack or float time. In this case, activities C, D, and F are critical because they have the same EF and LF values. Therefore, the project manager should closely monitor these activities to ensure that they are completed on time.

Table 35 -Using Table 3