Neco Model Questions Vol1 2018 Geography Question 27

Practice objective / multiple choice question 27 from the 2018 Neco Model Questions Vol1 Geography examination.

Neco Model Questions Vol1 2018 Geography Objective / Multiple Choice Hard Difficulty
Question 27 NECO_MODEL_QUESTIONS_VOL1 • 2018 • GEOGRAPHY • objective

A farmer cultivates 10 ha of land. He can apply nitrogen fertilizer at a rate of \(x\) kg per hectare. The expected crop yield per hectare (in tons) is given by \(Y = 2.5 + 0.04x - 0.0002x^{2}\). The market price of the crop is \(\₦150\) per kilogram and the fertilizer costs \(\₦30\) per kilogram. The farmer's total budget for fertilizer is \(\₦90,000\). Determine the fertilizer rate \(x\) (kg ha\(^{-1}\)) that maximizes total profit and state the maximum profit (in naira).

Answer Options

A. 110.0 kg/ha, profit ₦6,500,000
B. 95.0 kg/ha, profit ₦6,600,000
Correct Answer C. 99.5 kg/ha, profit ₦6,720,075
D. 85.0 kg/ha, profit ₦5,800,000
Correct Answer
C
Correct Option:
99.5 kg/ha, profit ₦6,720,075

About This Question

This is Neco Model Questions Vol1 2018 Geography Question 27. It is one of the objective questions from the 2018 Neco Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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