Gce Model Questions Vol1 2025 Government Question 15
Practice objective / multiple choice question 15 from the 2025 Gce Model Questions Vol1 Government examination.
A local authority has £1,200,000 to allocate among three public projects X, Y and Z. The amount allocated to each project is expressed in £100,000 units \(x, y, z\) (non‑negative integers) with \(x+y+z = 12\). Their effectiveness functions are: \[E_X = 10\sqrt{x},\quad E_Y = 8\ln(y+1),\quad E_Z = 6\sqrt[3]{z}.\] Determine the allocation \((x, y, z)\) that maximises the total effectiveness \(E = E_X + E_Y + E_Z\) and give the maximum total effectiveness value (rounded to two decimal places).
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About This Question
This is Gce Model Questions Vol1 2025 Government Question 15. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Government examination.
Difficulty level: Hard .
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