What is the early finish time for Activity F given the activity times and precedence requirements shown in the table? $$\begin{array} { | l | l | l | }
\hline \text { Activity } & \text { Time } & \text { Predecessor } \
\hline \text { A } & 5 & - \
\hline \text { B } & 7 & - \
\hline \text { D } & 8 & \text { A } \
\hline \text { D } & 7 & \text { A } \
\hline \text { E } & 4 & \text { B } \
\hline \text { F } & 8 & \text { C, D } \
\hline \text { G } & 9 & \text { E, F } \
\hline \text { H } & 7 & \text { G } \
\hline
\end{array}$$
A) 15
B) 17
C) 19
D) 21

Question

What is the early finish time for Activity F given the activity times and precedence requirements shown in the table? $$\begin{array} { | l | l | l | } 
\hline \text { Activity } & \text { Time } & \text { Predecessor } \
\hline \text { A } & 5 & - \
\hline \text { B } & 7 & - \
\hline \text { D } & 8 & \text { A } \
\hline \text { D } & 7 & \text { A } \
\hline \text { E } & 4 & \text { B } \
\hline \text { F } & 8 & \text { C, D } \
\hline \text { G } & 9 & \text { E, F } \
\hline \text { H } & 7 & \text { G } \
\hline
\end{array}$$
A) 15
B) 17
C) 19
D) 21

Quizplus · Accepted Answer

We need to calculate the early finish time for Activity F, meaning the earliest possible time for F to finish based on its predecessors' duration.

Activity F has two predecessors: C and D.

- C's early finish time is 12 (8+4), as it has only one predecessor, B. 
- D's early finish time needs to be calculated. D has two predecessors: A and C. A's early finish time is 5, and C's early finish time is 12. Hence, D's early start time is the maximum between A's and C's early finish time, which is 12. Therefore, D's early finish time is 20 (12+8).

Finally, to calculate F's early finish time, we take the maximum between C and D's early finish time plus F's duration (8): max(12+8, 20+8) = 28.

Therefore, the answer is D) 21, as 21 is the early finish time for Activity F.

What Is the Early Finish Time for Activity F Given