Question

Difficulty: HardCategorical Classification and Sorting

An international climate organization classifies regional sustainability projects into four distinct intervention tiers based on three quantitative indicators: Carbon Offset Potential (CC, in kilotons/yr), Community Impact Score (II, on a 1–100 scale), and Local Matching Funds (MM, as a percentage of total budget).

The evaluation criteria for the tiers are defined as follows:
- Tier A (Immediate Funding): Requires High Carbon Offset Potential (C50C \ge 50), High Community Impact Score (I75I \ge 75), AND Secured Matching Funds (M30%M \ge 30\%).
- Tier B (Technical Assistance): Requires High Community Impact Score (I75I \ge 75) AND Unsecured Matching Funds (M<30%M < 30\%), regardless of Carbon Offset Potential.
- Tier C (Co-Financing Mandatory): Requires High Carbon Offset Potential (C50C \ge 50) AND Secured Matching Funds (M30%M \ge 30\%), BUT Low Community Impact Score (I<75I < 75).
- Tier D (Deferred Review): Assigned to any project with Low Carbon Offset Potential (C<50C < 50) AND Low Community Impact Score (I<75I < 75), regardless of Matching Funds status.

Four specific projects are currently under review:
- Project Alpha: C=65C = 65, I=82I = 82, M=35%M = 35\%
- Project Beta: C=40C = 40, I=88I = 88, M=15%M = 15\%
- Project Gamma: C=55C = 55, I=60I = 60, M=40%M = 40\%
- Project Delta: C=30C = 30, I=50I = 50, M=45%M = 45\%

Match each project on the left to its correct intervention tier on the right.

  • Project AlphaTier A (Immediate Funding)
  • Project BetaTier B (Technical Assistance)
  • Project GammaTier C (Co-Financing Mandatory)
  • Project DeltaTier D (Deferred Review)

Answer

Project Alpha matches Tier A (Immediate Funding); Project Beta matches Tier B (Technical Assistance); Project Gamma matches Tier C (Co-Financing Mandatory); Project Delta matches Tier D (Deferred Review).
Each project maps uniquely to its corresponding intervention tier by evaluating all three indicators (CC, II, MM) against the strict multi-attribute conditional rules defined in the prompt.

Step-by-Step Solution

1
Evaluate Project Alpha against the classification thresholds.
C=6550C = 65 \ge 50 (High), I=8275I = 82 \ge 75 (High), M=35%30%M = 35\% \ge 30\% (Secured).
All three conditions for Tier A (Immediate Funding) are satisfied.
2
Evaluate Project Beta against the classification thresholds.
C=40<50C = 40 < 50 (Low), I=8875I = 88 \ge 75 (High), M=15%<30%M = 15\% < 30\% (Unsecured).
High Community Impact combined with Unsecured Matching Funds uniquely triggers Tier B (Technical Assistance).
3
Evaluate Project Gamma against the classification thresholds.
C=5550C = 55 \ge 50 (High), I=60<75I = 60 < 75 (Low), M=40%30%M = 40\% \ge 30\% (Secured).
High Carbon Offset and Secured Matching Funds with a Low Community Impact Score satisfies the rule for Tier C (Co-Financing Mandatory).
4
Evaluate Project Delta against the classification thresholds.
C=30<50C = 30 < 50 (Low), I=50<75I = 50 < 75 (Low), M=45%30%M = 45\% \ge 30\% (Secured).
Both Carbon Offset and Community Impact fall below the high threshold, which triggers Tier D (Deferred Review) regardless of matching funds.

Key Concept

Multi-attribute conditional classification using strict decision rules and boundary conditions.
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