Waec Model Questions Vol1 2024 Government Question 6

A local government receives a grant of ₦12,000,000 to be allocated to three projects: road repair (R), water supply (W), and a health clinic (H). The allocation must satisfy the following conditions: (i) Road repair receives at least 40% of the total grant, (ii) Water supply receives at most 30% of the total grant, and (iii) the health clinic receives the remaining amount. The per‑capita benefit of each project is defined as the amount allocated divided by the estimated number of beneficiaries: road repair benefits 1,500 people, water supply benefits 2,000 people, and the health clinic benefits 1,200 people. The council wishes to maximise the *minimum* per‑capita benefit among the three projects while respecting the percentage constraints. What amount should be allocated to the health clinic to achieve this objective?