Neco 2018 Government Question 20
Practice objective / multiple choice question 20 from the 2018 Neco Government examination.
A ministry has ₦12 million to allocate between two projects. Project A yields a benefit \( B_A = 5000x - 200x^{2} \) where \(x\) is the amount (in millions of naira) invested in Project A (0 ≤ \(x\) ≤ 10). Project B yields a benefit \( B_B = 8000y - 300y^{2} \) where \(y\) is the amount (in millions of naira) invested in Project B (0 ≤ \(y\) ≤ 8). The total investment must satisfy \(x + y = 12\). Determine the allocation \((x, y)\) that maximizes the total benefit \( B_A + B_B \). Give your answer in millions of naira.
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About This Question
This is Neco 2018 Government Question 20. It is one of the objective questions from the 2018 Neco Government examination.
Difficulty level: Hard .
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