Waec Model Questions Vol1 2019 Geography Question 38

Practice objective / multiple choice question 38 from the 2019 Waec Model Questions Vol1 Geography examination.

Waec Model Questions Vol1 2019 Geography Objective / Multiple Choice Hard Difficulty
Question 38 WAEC_MODEL_QUESTIONS_VOL1 • 2019 • GEOGRAPHY • objective

A farmer's crop yield per hectare (in tonnes) depends on the amount of fertilizer applied (x kg ha⁻¹) according to the quadratic relation $Y = 2 + 0.04x - 0.0002x^{2}$. The market price of the crop is ₦120 per kilogram, the cost of fertilizer is ₦30 per kilogram, and fixed costs (land, labour, etc.) amount to ₦15,000 per hectare. Determine the amount of fertilizer (in kg ha⁻¹) that maximizes profit per hectare and compute the maximum profit (in naira, rounded to the nearest naira).

Answer Options

Correct Answer A. Optimal fertilizer = 99.4 kg ha⁻¹; Maximum profit = ₦462,009 per hectare
B. Optimal fertilizer = 92.3 kg ha⁻¹; Maximum profit = ₦455,200 per hectare
C. Optimal fertilizer = 105.0 kg ha⁻¹; Maximum profit = ₦470,500 per hectare
D. Optimal fertilizer = 110.5 kg ha⁻¹; Maximum profit = ₦480,750 per hectare
Correct Answer
A
Correct Option:
Optimal fertilizer = 99.4 kg ha⁻¹; Maximum profit = ₦462,009 per hectare

About This Question

This is Waec Model Questions Vol1 2019 Geography Question 38. It is one of the objective questions from the 2019 Waec Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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