The national public‑service budget for the fiscal year is ₦2 000 000 000. The budget must be allocated to three sectors—Health (H), Education (E) and Infrastructure (I)—subject to the following constraints:

1. Health must receive at least $30\%$ of the total budget.
2. Education must receive at least $20\%$ of the total budget and no more than twice the amount allocated to Health.
3. Infrastructure receives the remainder after Health and Education allocations.

If the government wishes to maximise the amount allocated to Infrastructure while respecting all constraints, what are the final allocations (in naira) to Health, Education and Infrastructure?

Question

The national public‑service budget for the fiscal year is ₦2 000 000 000. The budget must be allocated to three sectors—Health (H), Education (E) and Infrastructure (I)—subject to the following constraints:

1. Health must receive at least $30\%$ of the total budget.
2. Education must receive at least $20\%$ of the total budget and no more than twice the amount allocated to Health.
3. Infrastructure receives the remainder after Health and Education allocations.

If the government wishes to maximise the amount allocated to Infrastructure while respecting all constraints, what are the final allocations (in naira) to Health, Education and Infrastructure?

Accepted Answer

Health ₦600,000,000; Education ₦400,000,000; Infrastructure ₦1,000,000,000

Gce Model Questions Vol1 2024 Civic Education Question 15

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