Question

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). 

Hint:

To calculate the total float for an activity, subtract the earliest start time (EST) from the latest start time (LST). Ensure to compute EST and LST using the network diagram based on dependencies and durations of the activities.

Answer 1

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. ✅