The activities, their respective immediate predecessors, and activity times for a particular project are given in the table below. Determine the earliest completion time for this project using a Gantt chart. $\begin{array} { | l | l | l | }
\hline \text { Activity } & \text { Immediate Predecessor(s) } & \text { Activity Time(in weeks) } \
\hline \mathrm { A } & \text { None } & 1 \
\hline \mathrm { B } & \text { None } & 1 \
\hline \mathrm { C } & \mathrm { A } & 4 \
\hline \mathrm { D } & \mathrm { B } & 5 \
\hline \mathrm { E } & \mathrm { C } , \mathrm { D } & 5 \
\hline \mathrm { F } & \mathrm { E } & 3 \
\hline \mathrm { G } & \mathrm { F } & 2 \
\hline
\end{array}$
A) 14 weeks
B) 16 weeks
C) 18 weeks
D) 20 weeks

Question

The activities, their respective immediate predecessors, and activity times for a particular project are given in the table below. Determine the earliest completion time for this project using a Gantt chart. $\begin{array} { | l | l | l | } 
\hline \text { Activity } & \text { Immediate Predecessor(s) } & \text { Activity Time(in weeks) } \
\hline \mathrm { A } & \text { None } & 1 \
\hline \mathrm { B } & \text { None } & 1 \
\hline \mathrm { C } & \mathrm { A } & 4 \
\hline \mathrm { D } & \mathrm { B } & 5 \
\hline \mathrm { E } & \mathrm { C } , \mathrm { D } & 5 \
\hline \mathrm { F } & \mathrm { E } & 3 \
\hline \mathrm { G } & \mathrm { F } & 2 \
\hline
\end{array}$
A) 14 weeks
B) 16 weeks
C) 18 weeks
D) 20 weeks

Quizplus · Accepted Answer

To make a Gantt chart, we first draw a horizontal axis, labeled with time in weeks. Then, we add bars for each activity, starting at the earliest possible start time and continuing for the duration of the activity. We use the information about immediate predecessors to determine the earliest possible start time for each activity.

The Gantt chart for this project looks like this:

|   A   |   C   |       E       |       F       |   G   |
|   B   |   D   |               |               |       |
0       1       2       3       4       5       6       7       8       9       10      11      12      13      14      15      16

From the chart, we can see that the earliest completion time for the project is 16 weeks, which is the end of activity G. Therefore, the answer is B.

The Activities, Their Respective Immediate Predecessors, and Activity Times for a Particular