Neco Model Questions Vol1 2023 Government Question 40

Practice objective / multiple choice question 40 from the 2023 Neco Model Questions Vol1 Government examination.

Neco Model Questions Vol1 2023 Government Objective / Multiple Choice Hard Difficulty
Question 40 NECO_MODEL_QUESTIONS_VOL1 • 2023 • GOVERNMENT • objective

A public agency has an annual budget of \(\text{N}10\) million to allocate between two programmes, A and B. If \(x\) million naira is allocated to programme A, the social benefit derived is \(B_A = 4\sqrt{x}\). If \(y\) million naira is allocated to programme B, the benefit is \(B_B = 3\ln (y+1)\). The agency must allocate at least \(\text{N}2\) million to each programme. Determine the allocation \((x, y)\) that maximizes the total benefit \(B = B_A + B_B\) and state the maximum total benefit (to two decimal places).

Answer Options

A. Allocate about \\(\\text{N}8.0\\) million to programme A and \\(\\text{N}2.0\\) million to programme B; maximum total benefit \\(\\approx 14.10\\).
B. Allocate about \\(\\text{N}5.0\\) million to programme A and \\(\\text{N}5.0\\) million to programme B; maximum total benefit \\(\\approx 13.85\\).
C. Allocate about \\(\\text{N}6.5\\) million to programme A and \\(\\text{N}3.5\\) million to programme B; maximum total benefit \\(\\approx 14.30\\).
Correct Answer D. Allocate about \(\text{N}7.0\) million to programme A and \(\text{N}3.0\) million to programme B; maximum total benefit \(\approx 14.74\).
Correct Answer
D
Correct Option:
Allocate about \(\text{N}7.0\) million to programme A and \(\text{N}3.0\) million to programme B; maximum total benefit \(\approx 14.74\).

About This Question

This is Neco Model Questions Vol1 2023 Government Question 40. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Government examination.

Difficulty level: Hard .

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