The figure shows a network diagram for a construction project. The activities A, B, C, D, E, and F are represented by arrows and their durations are in the figure. The total float available for the activity E in day(s) is equal to ......... (round off to the nearest integer).
The figure shows a network diagram for a construction project. The activities A, B, C, D, E, and F are represented by arrows and their durations are in the figure. The total float available for the activity E in day(s) is equal to ......... (round off to the nearest integer).
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Solution and Explanation
Calculation of Total Float for Activity E:
- Given Data:
- Duration of Activity E = 4 days.
- Earliest Start Time (EST) of E = 8 (calculated from the preceding activities).
- Latest Finish Time (LFT) of E = 13 (same as the LST of the succeeding activity).
Step 1: Calculate EFT (Earliest Finish Time)
\[ EFT = EST + \text{Duration} = 8 + 4 = 12 \] Step 2: Calculate LST (Latest Start Time)
\[ LST = LFT - \text{Duration} = 13 - 4 = 9 \] Step 3: Compute Total Float
\[ \text{Total Float} = LST - EST = 9 - 8 = 1 \] Final Answer:
The total float for **Activity E** is 1 day. ✅
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