Gce Model Questions Vol1 2019 Geography Question 30

Practice objective / multiple choice question 30 from the 2019 Gce Model Questions Vol1 Geography examination.

Gce Model Questions Vol1 2019 Geography Objective / Multiple Choice Hard Difficulty
Question 30 GCE_MODEL_QUESTIONS_VOL1 • 2019 • GEOGRAPHY • objective

Crop yield (tons ha(^{-1})) in response to nitrogen fertilizer \(N\) (kg ha(^{-1})) is modelled by \(Y(N) = -0.02N^{2} + 1.2N\). The market price of the crop is \$200 per ton and the cost of fertilizer is \$0.5 per kg. Environmental regulations limit nitrogen application to a maximum of 80 kg ha(^{-1}). Determine the amount of nitrogen \(N\) (to the nearest kilogram) that maximises profit per hectare, and state the maximum profit (in dollars) rounded to the nearest dollar.

Answer Options

A. 28 kg ha⁻¹; maximum profit ≈ $3 400 per hectare
B. 25 kg ha⁻¹; maximum profit ≈ $3 200 per hectare
C. 35 kg ha⁻¹; maximum profit ≈ $3 750 per hectare
Correct Answer D. 30 kg ha⁻¹; maximum profit ≈ $3 585 per hectare
Correct Answer
D
Correct Option:
30 kg ha⁻¹; maximum profit ≈ $3 585 per hectare

About This Question

This is Gce Model Questions Vol1 2019 Geography Question 30. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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