Three public‑health campaigns (A, B and C) are evaluated on three criteria: Efficiency (weight 0.4), Equity (weight 0.35) and Accountability (weight 0.25). Their scores (out of 100) are: Campaign A - Efficiency 78, Equity 85, Accountability 70; Campaign B - Efficiency 82, Equity 60, Accountability 74; Campaign C - Efficiency 70, Equity 80, Accountability 80.

(a) Compute the overall performance index (I = 0.4E + 0.35Eq + 0.25A) for each campaign.
(b) Which campaign has the highest index and does it meet the minimum threshold of 75?
(c) If Campaign B wishes to reach the threshold of 75 by improving only its Equity score (keeping the other two scores unchanged), what is the minimum Equity score it must obtain?

Question

Three public‑health campaigns (A, B and C) are evaluated on three criteria: Efficiency (weight 0.4), Equity (weight 0.35) and Accountability (weight 0.25). Their scores (out of 100) are: Campaign A - Efficiency 78, Equity 85, Accountability 70; Campaign B - Efficiency 82, Equity 60, Accountability 74; Campaign C - Efficiency 70, Equity 80, Accountability 80.

(a) Compute the overall performance index (I = 0.4E + 0.35Eq + 0.25A) for each campaign. 
(b) Which campaign has the highest index and does it meet the minimum threshold of 75? 
(c) If Campaign B wishes to reach the threshold of 75 by improving only its Equity score (keeping the other two scores unchanged), what is the minimum Equity score it must obtain?

Accepted Answer

Campaign A has the highest index (78.45) and meets the 75‑point threshold. Campaign B must raise its Equity score to at least 68 to reach the threshold.

Gce Model Questions Vol1 2021 Government Question 36

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