VIPSolutionsGive step-by-step solution with explanation and final answer:or. HE bis Bigs HE | £o% JdHGRE SRE it BH EE £ Hl ERE AAs i | | | gt SETI sf > 53 li las ¥ lela 2 H :
Question:
Give step-by-step solution with explanation and final answer:
or.
HE
bis
Bigs
HE
|
£o%
JdHGRE
SRE it
BH EE
£ Hl
ERE
AAs i
| |
| gt
SETI sf
> 53
li las ¥
lela 2
H
:
This is AI generated Response.
Asked by: Md Israrul Haque
Created at: 2025-10-15 04:28:34
Asked by: Md Israrul Haque
Created at: 2025-10-15 04:28:34
Final Answer:
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Let's solve **Project 1** step-by-step as per your requirements.
---
# 1. **Project Data Extraction**
| Activity | Duration | Immediate Predecessor(s) (IPA) |
|----------|----------|-------------------------------|
| A | 6 | - |
| B | 2 | A |
| C | 5 | A |
| D | 3 | B, C |
---
# 2. **Draw Project Network Diagram**
### **Network Connections**
- **A** starts first.
- **B** and **C** both follow **A**.
- **D** follows both **B** and **C**.
```
A → B →
\ \
→ D
/ /
A → C →
```
---
# 3. **Forward Pass (ES, EF)**
| Activity | Duration | ES (Earliest Start) | EF (Earliest Finish) |
|----------|----------|---------------------|----------------------|
| A | 6 | | 6 |
| B | 2 | 6 | 8 |
| C | 5 | 6 | 11 |
| D | 3 | max(8,11)=11 | 14 |
---
# 4. **Backward Pass (LS, LF)**
- Project completion time = **14**
| Activity | Duration | LF (Latest Finish) | LS (Latest Start) |
|----------|----------|---------------------|----------------------|
| D | 3 | 14 | 11 |
| B | 2 | 11 (from D) | 9 |
| C | 5 | 11 (from D) | 6 |
| A | 6 | min(9,6)=6 (from B & C) | |
---
# 5. **Float Calculations**
- **Total Float = LS - ES = LF - EF**
| Activity | ES | EF | LS | LF | Total Float |
|----------|----|----|----|----|-------------|
| A | | 6 | | 6 | |
| B | 6 | 8 | 9 | 11 | 3 |
| C | 6 | 11 | 6 | 11 | |
| D | 11 | 14 | 11 | 14 | |
---
# 6. **Summary Table**
| Act | Dur | IPA | ES | EF | LS | LF | Float |
|-----|-----|-----|----|----|----|----|-------|
| A | 6 | - | | 6 | | 6 | |
| B | 2 | A | 6 | 8 | 9 | 11 | 3 |
| C | 5 | A | 6 | 11 | 6 | 11 | |
| D | 3 | B,C | 11 | 14 | 11 | 14 | |
---
# 7. **Critical Path & Project Duration**
- **Critical Path:** A → C → D
- **Project Duration:** **14 units**
---
## **Final Answers**
- **ES, EF, LS, LF**: See summary table above.
- **Total Float**: See summary table above.
- **Project Duration:** **14**
- **Critical Path:** **A → C → D**
---
Let me know if you need a diagram or want to solve the second project!
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