A peace‑building programme evaluates three strategies—Mediation (M), Dialogue (D) and Economic Incentives (E)—against three criteria: Sustainability (S), Community Acceptance (C) and Cost‑effectiveness (F). Scores (out of 10) are:

M: S = 8, C = 7, F = 6
D: S = 7, C = 9, F = 5
E: S = 6, C = 6, F = 9

The overall effectiveness of a strategy is (E = 0.5S + 0.3C + 0.2F). The programme will adopt a set of strategies whose average effectiveness is at least 7.0 and whose total cost‑effectiveness score (sum of the F values) does not exceed 14. Which combination(s) of strategies satisfy both conditions, and what is the minimum number of strategies required?

Question

A peace‑building programme evaluates three strategies—Mediation (M), Dialogue (D) and Economic Incentives (E)—against three criteria: Sustainability (S), Community Acceptance (C) and Cost‑effectiveness (F). Scores (out of 10) are:

M: S = 8, C = 7, F = 6
D: S = 7, C = 9, F = 5
E: S = 6, C = 6, F = 9

The overall effectiveness of a strategy is (E = 0.5S + 0.3C + 0.2F). The programme will adopt a set of strategies whose average effectiveness is at least 7.0 and whose total cost‑effectiveness score (sum of the F values) does not exceed 14. Which combination(s) of strategies satisfy both conditions, and what is the minimum number of strategies required?

Accepted Answer

Mediation alone or Dialogue alone; minimum 1 strategy

Neco 2025 Civic Education Question 25

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