Gce Model Questions Vol1 2022 Geography Question 31

Practice objective / multiple choice question 31 from the 2022 Gce Model Questions Vol1 Geography examination.

Gce Model Questions Vol1 2022 Geography Objective / Multiple Choice Hard Difficulty
Question 31 GCE_MODEL_QUESTIONS_VOL1 • 2022 • GEOGRAPHY • objective

A farmer grows wheat. The expected yield per hectare (in tonnes) as a function of nitrogen fertilizer applied (kg ha⁻¹) is \(Y = 0.8F - 0.01F^{2}\). The market price of wheat is \(\$200\) per tonne and the cost of nitrogen fertilizer is \(\$2\) per kg. Determine the amount of fertilizer that maximises profit per hectare and calculate the maximum profit (in dollars).

Answer Options

A. 35.0 kg ha⁻¹ and $2800 per ha
Correct Answer B. 39.5 kg ha⁻¹ and $3120.5 per ha
C. 45.0 kg ha⁻¹ and $3400 per ha
D. 50.0 kg ha⁻¹ and $3000 per ha
Correct Answer
B
Correct Option:
39.5 kg ha⁻¹ and $3120.5 per ha

About This Question

This is Gce Model Questions Vol1 2022 Geography Question 31. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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