Neco Model Questions Vol1 2025 Government Question 19

Practice objective / multiple choice question 19 from the 2025 Neco Model Questions Vol1 Government examination.

Neco Model Questions Vol1 2025 Government Objective / Multiple Choice Hard Difficulty
Question 19 NECO_MODEL_QUESTIONS_VOL1 • 2025 • GOVERNMENT • objective

A local government has a total budget of \(\text{₦}200\) million to be spent on two projects, X and Y. The benefit functions are \(B_X = 5\,E_X^{0.6}\) and \(B_Y = 8\,E_Y^{0.5}\), where \(E_X\) and \(E_Y\) are the expenditures (in million naira) on the respective projects. Each project must receive at least \(\text{₦}30\) million and at most \(\text{₦}120\) million. Determine the allocation \((E_X, E_Y)\) that maximizes the total benefit \(B_X+B_Y\) and give the maximum total benefit rounded to the nearest million naira.

Answer Options

A. E_X = 100.0 million, E_Y = 100.0 million, total benefit = 155 million
B. E_X = 115.0 million, E_Y = 85.0 million, total benefit = 158 million
C. E_X = 120.0 million, E_Y = 80.0 million, total benefit = 162 million
Correct Answer D. E_X = 118.6 million, E_Y = 81.4 million, total benefit = 160 million
Correct Answer
D
Correct Option:
E_X = 118.6 million, E_Y = 81.4 million, total benefit = 160 million

About This Question

This is Neco Model Questions Vol1 2025 Government Question 19. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Government examination.

Difficulty level: Hard .

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