The tablet unearthed by the archaeologist revealed an ancient culture's project plan. However, the sands of time had erased much of the information that the table once contained. Use this fragmentary record to unlock the ancient project's secrets and answer the following question(s).
$$\begin{array} { | c | c | c | c | c | c | c | }
\hline \text { Activity } & \text { Predecessors } & \text { Time } & \text { ES } & \text { EF } & \text { LS } & \text { LF } \
\hline \text { A } & \cdots & 7 & & & & 12 \
\hline \text { B } & \cdots & 8 & & & & \
\hline \text { C } & \text { A } & & & & 13 & 20 \
\hline \text { D } & \text { A } & 11 & & & 12 & \
\hline \text { E } & \text { B } & & & 14 & 17 & \
\hline \text { F } & \text { B } & 11 & & & & \
\hline \text { G } & \text { D, E } & 6 & & & & \
\hline \text { H } & \text { C } & & & & 20 & \
\hline \text { K } & \text { F } & & & 29 & & \
\hline \text { L } & G , H , K & 9 & & & & \
\hline
\end{array}$$
-Refer to the scenario above. What is the duration of activity H?
A)7 weeks
B)8 weeks
C)9 weeks
D)10 weeks

Question

The tablet unearthed by the archaeologist revealed an ancient culture's project plan. However, the sands of time had erased much of the information that the table once contained. Use this fragmentary record to unlock the ancient project's secrets and answer the following question(s).
 $$\begin{array} { | c | c | c | c | c | c | c | } 
\hline \text { Activity } & \text { Predecessors } & \text { Time } & \text { ES } & \text { EF } & \text { LS } & \text { LF } \
\hline \text { A } & \cdots & 7 & & & & 12 \
\hline \text { B } & \cdots & 8 & & & & \
\hline \text { C } & \text { A } & & & & 13 & 20 \
\hline \text { D } & \text { A } & 11 & & & 12 & \
\hline \text { E } & \text { B } & & & 14 & 17 & \
\hline \text { F } & \text { B } & 11 & & & & \
\hline \text { G } & \text { D, E } & 6 & & & & \
\hline \text { H } & \text { C } & & & & 20 & \
\hline \text { K } & \text { F } & & & 29 & & \
\hline \text { L } & G , H , K & 9 & & & & \
\hline
\end{array}$$
-Refer to the scenario above. What is the duration of activity H?
A)7 weeks
B)8 weeks
C)9 weeks
D)10 weeks

Quizplus · Accepted Answer

The duration of activity H is the difference between its LS and ES, which is 20 - 13 = 7 weeks. 
To find the critical path, we need to first find the earliest and latest start/finish times for each activity. 
For activity A, its EF is 12, meaning its ES is 5 (12 - 7). 
For activity B, its EF is the same as its duration of 8, meaning its ES is 0. 
For activity C, its ES is the same as its predecessor A's EF, which is 12, and its LF is the difference between its LS and duration of 7, which is 20 - 7 = 13. 
For activity D, its LF is the same as its predecessor A's ES, which is 5, meaning its EF is 16 (5 + 11). 
For activity E, its LF is the same as its predecessor B's EF, which is 14, meaning its LS is the difference between its LF and duration of 17 - 8 = 9. 
For activity F, its EF is the same as its duration of 11, meaning its ES is 18 (29 - 11). 
For activity G, its EF is the same as its duration of 6, meaning its ES is the largest of its predecessors (D's LF and E's LF), which is 14. Its LF is the same as its successor L's ES, which is 29. 
For activity K, its ES is the same as its predecessor F's EF, which is 18, and its LF is the same as its successor L's ES, which is 29. 
For activity H, its LS is the same as its successor L's LF, which is 29, meaning its ES is the difference between its LS and duration of 29 - 9 = 20. 
The critical path is A-D-G-L, with a duration of 24 weeks. Activities B, C, E, F, and H are not on the critical path.

The Tablet Unearthed by the Archaeologist Revealed an Ancient Culture's