Resource Allocation — MCQ Practice

A district administration has a budget of ₹100 lakhs and 50 personnel for two projects: Project A (Health Camps) and Project B (Skill Development Centers). Project A requires ₹5 lakhs and 2 personnel per camp, benefiting 200 people. Project B requires ₹10 lakhs and 5 personnel per center, benefiting 300 people. If the objective is to maximize the total number of people benefited, which of the following allocations is optimal?

A municipal corporation has ₹50 lakhs for urban development. They are considering three projects: P1 (Road Repair), P2 (Park Renovation), P3 (Street Lighting). The estimated costs and benefits (in lakhs) are: P1: Cost ₹20, Benefit ₹30 P2: Cost ₹15, Benefit ₹20 P3: Cost ₹10, Benefit ₹18 If the corporation can undertake any combination of projects as long as the total cost does not exceed ₹50 lakhs, and the objective is to maximize total benefit, which combination should be chosen?

A government department has 20 units of 'Expert Manpower' and 30 units of 'Specialized Equipment' for two critical tasks: Task X (Policy Formulation) and Task Y (Implementation Oversight). Task X requires 2 units of manpower and 3 units of equipment per cycle. Task Y requires 4 units of manpower and 2 units of equipment per cycle. Each cycle of Task X contributes 10 points to departmental efficiency, and each cycle of Task Y contributes 15 points. To maximize total departmental efficiency, how many cycles of Task X and Task Y should be completed?

A state government is evaluating two social welfare schemes: Scheme P (direct cash transfer) and Scheme Q (subsidized food distribution). Scheme P has a high administrative cost but ensures targeted delivery. Scheme Q has lower administrative cost but faces leakage issues. If the government's primary objective is to maximize 'beneficiary reach' while minimizing 'administrative overhead', and it has limited funds, which scheme would be preferred based on the following: Scheme P: Reach 80% of target, Overhead 20% of total budget. Scheme Q: Reach 90% of target, Overhead 10% of total budget (but 15% leakage). Assume 'net reach' for Scheme Q is 90% * (1-0.15) = 76.5%.

A city planning department needs to allocate land for three purposes: Residential (R), Commercial (C), and Public Green Space (G). The total available land is 1000 units. The department has the following guidelines: 1. Residential land must be at least twice the Commercial land. 2. Public Green Space must be at least 10% of the total land. 3. The ratio of Commercial to Residential land should not exceed 1:3. Which of the following allocations (R, C, G) is feasible?