Neco 2021 Geography Question 14

Practice objective / multiple choice question 14 from the 2021 Neco Geography examination.

Neco 2021 Geography Objective / Multiple Choice Hard Difficulty
Question 14 NECO • 2021 • GEOGRAPHY • objective

The yield of a crop (in tonnes per hectare) as a function of the amount of fertilizer applied \(F\) (kg ha\(^{-1}\)) is given by \(Y(F)= -0.02F^{2}+1.2F+5\) for \(0\le F\le 100\). The market price of the crop is ₦200 per kg, the cost of fertilizer is ₦30 per kg, and the fixed production cost is ₦10,000 per hectare. Determine the fertilizer amount that maximizes profit per hectare and compute the maximum profit.

Answer Options

A. 35 kg ha⁻¹ of fertilizer; maximum profit = ₦4,750,000 per hectare
Correct Answer B. 30 kg ha⁻¹ of fertilizer; maximum profit = ₦4,589,100 per hectare
C. 25 kg ha⁻¹ of fertilizer; maximum profit = ₦4,300,000 per hectare
D. 30 kg ha⁻¹ of fertilizer; maximum profit = ₦4,500,000 per hectare
Correct Answer
B
Correct Option:
30 kg ha⁻¹ of fertilizer; maximum profit = ₦4,589,100 per hectare

About This Question

This is Neco 2021 Geography Question 14. It is one of the objective questions from the 2021 Neco Geography examination.

Difficulty level: Hard .

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