Dean's Office Official Model Question Paper

Answer: Project: A temporary endeavor undertaken to create a unique product, service, or result, characterized by a defined beginning and end. Triple Constraints: Scope, Time (Schedule), and Cost (Budget) (with Quality at the center).

Answer: Work Breakdown Structure (WBS): A hierarchical, deliverable-oriented decomposition of the total scope of work to be carried out by the project team, culminating at the lowest level in manageable work packages.

Answer:

• CPM (Critical Path Method): Deterministic model using a single, known activity duration estimate; best suited for repetitive construction and manufacturing projects.
• PERT (Program Evaluation and Review Technique): Probabilistic model using three time estimates (Optimistic $a$, Most Likely $m$, Pessimistic $b$) to calculate expected duration under high uncertainty (R&D, software).

Answer: \nEarned Value Management (EVM): A project performance measurement methodology that integrates scope, schedule, and cost metrics into a unified assessment:

$$CPI = \frac{EV \text{ (Earned Value)}}{AC \text{ (Actual Cost)}}$$

• $CPI > 1.0$: Project is under budget (favorable).
• $CPI < 1.0$: Project is over budget (cost overrun).

Answer: Project Crashing: A schedule compression technique in which additional resources (overtime, extra machinery, subcontracting) are added to critical path activities to attain the maximum schedule duration reduction for the least incremental cost.

Solution: Project Network and Crashing Analysis

a) & b) Paths and Critical Path Identification

• Path 1: $A \to C \to E \implies \text{Duration} = 4 + 5 + 3 = 12 \text{ days}$.
• Path 2: $B \to D \to E \implies \text{Duration} = 6 + 4 + 3 = 13 \text{ days}$.

Results:

• Critical Path: $B \to D \to E$
• Normal Project Duration: 13 Days
• Non-critical Path ($A \to C \to E$) has a slack of $13 - 12 = 1 \text{ day}$.

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c) Cost Slope per Day for Each Activity

$$\text{Cost Slope} = \frac{\text{Crash Cost} - \text{Normal Cost}}{\text{Normal Time} - \text{Crash Time}}$$

• Activity A: $\frac{14,000 - 10,000}{4 - 2} = \frac{4,000}{2} = \text{Rs. } 2,000/\text{day}$ (Max crash = 2 days)
• Activity B: $\frac{18,000 - 12,000}{6 - 4} = \frac{6,000}{2} = \text{Rs. } 3,000/\text{day}$ (Max crash = 2 days)
• Activity C: $\frac{21,000 - 15,000}{5 - 3} = \frac{6,000}{2} = \text{Rs. } 3,000/\text{day}$ (Max crash = 2 days)
• Activity D: $\frac{14,000 - 8,000}{4 - 2} = \frac{6,000}{2} = \text{Rs. } 3,000/\text{day}$ (Max crash = 2 days)
• Activity E: $\frac{9,000 - 6,000}{3 - 2} = \frac{3,000}{1} = \text{Rs. } 3,000/\text{day}$ (Max crash = 1 day)

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d) Crashing Project by 2 Days (Target: 11 Days)

1. Crash Day 1 (13 to 12 Days):

   • Critical path activities are $B, D, E$ (all cost Rs. 3,000/day).
   • Crash critical activity E by 1 day.
   • Path durations become:
     • Path 1 ($A-C-E$): $4 + 5 + 2 = 11$ days.
     • Path 2 ($B-D-E$): $6 + 4 + 2 = 12$ days (Still sole critical path).
   • Additional cost = Rs. 3,000.

2. Crash Day 2 (12 to 11 Days):

   • Critical path is still $B-D-E$ (Duration = 12 days).
   • Activity $E$ cannot be crashed further.
   • Candidate critical activities: $B$ (Rs. 3,000/day) or $D$ (Rs. 3,000/day).
   • Crash Activity B by 1 day.
   • Path durations become:
     • Path 2 ($B-D-E$): $5 + 4 + 2 = 11$ days.
     • Path 1 ($A-C-E$): $4 + 5 + 2 = 11$ days.
   • Both paths are now critical at 11 days.
   • Additional cost = Rs. 3,000.

Total Minimum Additional Crash Cost: $3,000 + 3,000 = \mathbf{\text{Rs. } 6,000}$. New Project Duration = 11 Days.

The Logical Framework Approach (LFA) and LogFrame Matrix

The LogFrame is a systematic analytical tool used by project planners and international development agencies (UNDP, World Bank) to structure, monitor, and evaluate projects.

1. The 4x4 Matrix Structure

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2. The Vertical Hierarchy of Objectives (If-Then Logic)

1. Activities: Specific action tasks executed using allocated project resources (e.g., construct 5 health clinics).
2. Outputs: The direct, tangible physical products and services delivered (e.g., 5 fully equipped operational clinics).
3. Outcomes: The behavioral changes and benefits realized by target beneficiaries (e.g., 80% increase in maternal healthcare consultations).
4. Goal: The ultimate, higher-level national or regional objective to which the project contributes (e.g., reduction in maternal mortality across Karnali Province).

3. Horizontal Logic

• Objectively Verifiable Indicators (OVIs): Explicit targets specifying Quantity, Quality, and Time (QQT).
• Means of Verification (MoVs): The auditable documentation verifying indicator achievement.
• Assumptions: External conditions outside project management’s control that must hold true for success.

Project Risk Management Process

1. Core Stages of Project Risk Management

1. Risk Identification: Uncovering potential uncertainties using brainstorming, Delphi technique, checklist analysis, and SWOT reviews. Recorded in the Project Risk Register.
2. Qualitative Risk Analysis: Prioritizing risks by assessing their probability of occurrence ($P$) and potential negative impact ($I$) on project objectives.
3. Quantitative Risk Analysis: Numerical modeling of risk exposure using Monte Carlo simulation and Expected Monetary Value (EMV).
4. Risk Monitoring & Control: Tracking identified risks, executing contingency plans, and evaluating risk response effectiveness throughout the project lifecycle.

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2. Risk Probability-Impact ($P \imes I$) Matrix

Risks are plotted on a 5x5 grid:

• Red Zone (High Probability, High Impact): Critical threats requiring mandatory executive escalation and active mitigation plans.
• Yellow Zone (Moderate Risk): Monitored with assigned risk owners.
• Green Zone (Low Probability, Low Impact): Placed on a passive watch-list.

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3. The Four Standard Risk Response Strategies (Negative Threats)

1. Avoidance: Changing the project management plan to eliminate the threat entirely (e.g., adopting a proven technology instead of experimental software).
2. Mitigation: Taking early proactive steps to reduce the probability or impact of a risk (e.g., installing backup power generators).
3. Transference: Shifting financial impact to a third party (e.g., purchasing all-risk construction insurance, using fixed-price turnkey contracts).
4. Acceptance: Acknowledging the risk without proactive change; establishing contingency financial reserves for residual threats.

Stakeholder Management and Mitchell’s Salience Model

1. Concept of Stakeholder Governance

Project stakeholders are individuals or organizations whose interests may be positively or negatively affected by project execution. Managing stakeholder expectations is critical to prevent community opposition, permitting delays, and scope disputes.

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2. Mitchell, Agle, and Wood’s Stakeholder Salience Model

Stakeholder importance (‘salience’) is assessed across three diagnostic attributes:

1. Power: The stakeholder’s ability to impose their will upon the project through coercive (force/protests), utilitarian (financial resources), or normative (symbolic influence) power.
2. Legitimacy: The perceived moral, legal, or societal appropriateness of the stakeholder’s claim on the project.
3. Urgency: The degree to which stakeholder claims call for immediate attention (time-sensitivity and criticality to the stakeholder).

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3. Resulting Typology of Stakeholders

• Latent Stakeholders (Possess 1 Attribute - Low Salience):
  • Dormant (Power only): Monitor (e.g., prospective regulators).
  • Discretionary (Legitimacy only): Good corporate citizens (e.g., charities).
  • Demanding (Urgency only): Noisy but low influence.
• Expectant Stakeholders (Possess 2 Attributes - Moderate Salience):
  • Dominant (Power + Legitimacy): Formal leaders, investors, local municipalities.
  • Dependent (Legitimacy + Urgency): Displaced local landholders requiring advocacy.
  • Dangerous (Power + Urgency): Militant groups or unlawful striking workers.
• Definitive Stakeholders (Possess all 3 Attributes - Highest Salience):
  • Project sponsors and regulatory permitting agencies; must be given highest priority.

Comprehensive Project Case Solution: Earned Value Analysis

a) Earned Value Metrics at Month 24

• Budget at Completion ($BAC$): Rs. 15,000,000,000
• Planned Duration: 40 Months
• Elapsed Time: 24 Months

1. Planned Value ($PV$):

   $$PV = \frac{24}{40} \times BAC = 60\% \times 15,000,000,000 = \text{Rs. } 9,000,000,000$$

2. Earned Value ($EV$):

   $$EV = \% \text{ Physical Work Completed} \times BAC = 45\% \times 15,000,000,000 = \text{Rs. } 6,750,000,000$$

3. Actual Cost ($AC$):

   $$AC = \text{Rs. } 9,000,000,000$$

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b) Variances and Performance Indices

1. Cost Variance ($CV$):

   $$CV = EV - AC = 6,750,000,000 - 9,000,000,000 = \mathbf{-\text{Rs. } 2,250,000,000}$$
   Interpretation: Negative variance indicates a severe cost overrun of Rs. 2.25 Billion.

2. Schedule Variance ($SV$):

   $$SV = EV - PV = 6,750,000,000 - 9,000,000,000 = \mathbf{-\text{Rs. } 2,250,000,000}$$
   Interpretation: Negative variance indicates the project is significantly behind schedule (15% behind planned physical progress).

3. Cost Performance Index ($CPI$):

   $$CPI = \frac{EV}{AC} = \frac{6,750,000,000}{9,000,000,000} = \mathbf{0.75}$$
   Interpretation: The project is generating only Rs. 0.75 worth of work for every Rs. 1.00 spent.

4. Schedule Performance Index ($SPI$):

   $$SPI = \frac{EV}{PV} = \frac{6,750,000,000}{9,000,000,000} = \mathbf{0.75}$$
   Interpretation: Project progress is advancing at only 75% of the scheduled rate.

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c) Forecasting and Contractual Turnaround Strategy

1. Estimate at Completion ($EAC$): Assuming future performance continues at the current CPI of 0.75:

   $$EAC = \frac{BAC}{CPI} = \frac{15,000,000,000}{0.75} = \mathbf{\text{Rs. } 20,000,000,000}$$

2. Variance at Completion ($VAC$):

   $$VAC = BAC - EAC = 15,000,000,000 - 20,000,000,000 = \mathbf{-\text{Rs. } 5,000,000,000}$$
   The project is projected to exceed its original budget by Rs. 5 Billion upon completion.

3. Turnaround and Dispute Resolution Blueprint:

   • Independent Dispute Adjudication Board (DAB): Appoint an independent technical panel under FIDIC Red Book conditions to examine whether geological rock fault lines were ‘unforeseeable physical conditions’ (Sub-Clause 4.12) eligible for contract variation.
   • Direct Material Supply Security: Partner with the Ministry of Home Affairs and District Administration to dismantle local transport cartels and guarantee secure corridor supply of construction aggregates.
   • Incentive Milestones for Tunnel Breakthrough: Restructure the remaining scope with milestone bonuses for timely boring completion, rather than unconditional cash advances.