Waec Model Questions Vol1 2018 Geography Question 49

Practice objective / multiple choice question 49 from the 2018 Waec Model Questions Vol1 Geography examination.

Waec Model Questions Vol1 2018 Geography Objective / Multiple Choice Hard Difficulty
Question 49 WAEC_MODEL_QUESTIONS_VOL1 • 2018 • GEOGRAPHY • objective

A farmer applies NPK fertilizer at a rate of F kg per hectare. The crop yield (in tonnes per hectare) is given by Y = 2 + 0.5F - 0.02F², where 0 ≤ F ≤ 20. The market price of the crop is ₦150 per kilogram and the fertilizer costs ₦30 per kilogram. Determine the fertilizer rate that maximizes yield, the maximum yield, and the profit per hectare at that optimal rate.

Answer Options

A. Optimal fertilizer rate = 8.0 kg/ha; maximum yield = 4.200 t/ha; profit = ₦540,000 per ha
B. Optimal fertilizer rate = 15.0 kg/ha; maximum yield = 5.500 t/ha; profit = ₦820,000 per ha
C. Optimal fertilizer rate = 10.0 kg/ha; maximum yield = 4.800 t/ha; profit = ₦650,000 per ha
Correct Answer D. Optimal fertilizer rate = 12.5 kg/ha; maximum yield = 5.125 t/ha; profit = ₦768,375 per ha
Correct Answer
D
Correct Option:
Optimal fertilizer rate = 12.5 kg/ha; maximum yield = 5.125 t/ha; profit = ₦768,375 per ha

About This Question

This is Waec Model Questions Vol1 2018 Geography Question 49. It is one of the objective questions from the 2018 Waec Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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