Gce Model Questions Vol1 2017 Government Question 23

Nigeria allocates funds to Local Government Areas (LGAs) using the formula: Allocation (million Naira) = \( \frac{\text{Weighted Score}}{100}\times12 \). The Weighted Score is calculated as 60% of the population score, 30% of the revenue‑generation score and 10% of the infrastructure‑need score. Each score is out of 100 and is obtained as follows: \(\text{Population score}=\frac{\text{LGA population}}{\text{Maximum LGA population}}\times100\); \(\text{Revenue score}=\frac{\text{Actual revenue}}{\text{Target revenue}}\times100\); \(\text{Infrastructure score}=\frac{\text{Infrastructure index}}{100}\times100\). The maximum LGA population is 500,000, the target revenue is \(\text{N}\)60,000 and the maximum infrastructure index is 100. LGA X has a population of 250,000, actual revenue of \(\text{N}\)40,000 and an infrastructure index of 70. The national cap on any LGA's allocation is \(\text{N}\)10 million. Determine LGA X's allocation (in million Naira) and state whether the cap is exceeded.