Neco 2022 Geography Question 3

Practice objective / multiple choice question 3 from the 2022 Neco Geography examination.

Neco 2022 Geography Objective / Multiple Choice Hard Difficulty
Question 3 NECO • 2022 • GEOGRAPHY • objective

A farmer intends to grow maize on \(5\) ha. Without fertilizer the expected yield is \(2.5\) t ha\(^{-1}\). Applying nitrogen fertilizer increases yield according to \(Y = 2.5 + 0.8\sqrt{N}\) (t ha\(^{-1}\)), where \(N\) is the amount of nitrogen applied per hectare (kg ha\(^{-1}\)). Fertilizer costs \(\text{₦}150\) per kg of nitrogen and the market price of maize is \(\text{₦}250\) per kg. The farmer has a maximum fertilizer budget of \(\text{₦}120{,}000\). Determine the optimal amount of nitrogen per hectare to maximise profit and compute the maximum profit (in naira, rounded to the nearest naira).

Answer Options

A. Apply 140 kg N per ha; maximum profit = ₦14,800,000
B. Apply 180 kg N per ha; maximum profit = ₦16,200,000
Correct Answer C. Apply 160 kg N per ha; maximum profit = ₦15,654,111
D. Apply 160 kg N per ha; maximum profit = ₦14,500,000
Correct Answer
C
Correct Option:
Apply 160 kg N per ha; maximum profit = ₦15,654,111

About This Question

This is Neco 2022 Geography Question 3. It is one of the objective questions from the 2022 Neco Geography examination.

Difficulty level: Hard .

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