Waec Model Questions Vol1 2020 Government Question 3

A local government has three departments - Health, Education and Infrastructure - that submit performance indices (PI) and budget requests for the upcoming fiscal year. The council allocates a total of ₦500 million using the formula: \[\text{Allocation}=\frac{\text{PI}\times\text{Requested amount}}{\sum (\text{PI}\times\text{Requested amount})}\times 500\text{ million}\] No department may receive less than 20 % of its original request. If a department receives less than this minimum, the shortfall is covered by proportionally reducing the allocations of the other departments that are above their minimums, while keeping the total at ₦500 million. Data: - Health: PI = 0.2, request = ₦400 million - Education: PI = 0.9, request = ₦150 million - Infrastructure: PI = 1.2, request = ₦250 million Determine the final allocation (in millions of naira, to two decimal places) for each department after the adjustment rule is applied.