The anti‑corruption agency has a budget of ₦7 million to spend on three interventions: (A) public awareness campaigns, (B) strengthening internal audit units, and (C) increasing civil‑servants' salaries. The marginal reduction in petty corruption for each million naira spent is as follows:
- Awareness: 2 % per million for the first 3 million, then 1 % for each additional million.
- Internal audit: 3 % per million for the first 2 million, then 1.5 % for each additional million.
- Salaries: 1 % per million for the first 4 million, then 0.5 % for each additional million.
Allocate the ₦7 million among the three interventions to achieve the maximum possible total reduction in petty corruption, and state the resulting percentage reduction.

Question

The anti‑corruption agency has a budget of ₦7 million to spend on three interventions: (A) public awareness campaigns, (B) strengthening internal audit units, and (C) increasing civil‑servants' salaries. The marginal reduction in petty corruption for each million naira spent is as follows: 
- Awareness: 2 % per million for the first 3 million, then 1 % for each additional million.
- Internal audit: 3 % per million for the first 2 million, then 1.5 % for each additional million.
- Salaries: 1 % per million for the first 4 million, then 0.5 % for each additional million.
Allocate the ₦7 million among the three interventions to achieve the maximum possible total reduction in petty corruption, and state the resulting percentage reduction.

Accepted Answer

Allocate ₦4 million to internal audit and ₦3 million to public awareness (₦0 million to salaries); total reduction = 15 %.

Waec Model Questions Vol1 2022 Civic Education Question 23

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