Neco Model Questions Vol1 2022 Agricultural Science Question 45

Practice objective / multiple choice question 45 from the 2022 Neco Model Questions Vol1 Agricultural Science examination.

Neco Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 45 NECO_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

A farmer cultivates \(5\) ha of maize. The fixed cost for the whole farm is N200 000. Variable cost per hectare consists of a base cost of N1 500 plus N0.20 for each kilogram of fertilizer applied per hectare. The yield (tons per hectare) as a function of fertilizer applied (kg ha⁻¹) is given by\n\n\( Y = 2 + 0.005F - 0.000001F^{2} \),\n\nwhere \(F\) is the fertilizer rate. The market price of maize is N2 500 per ton. Determine the fertilizer rate \(F\) (kg ha⁻¹) that maximizes the farmer's total profit, and compute the maximum total profit (in Naira, rounded to the nearest Naira).

Answer Options

A. Fertiliser rate = 2,600 kg ha⁻¹; Maximum total profit = N44,500
Correct Answer B. Fertiliser rate = 2,460 kg ha⁻¹; Maximum total profit = N43,145
C. Fertiliser rate = 2,300 kg ha⁻¹; Maximum total profit = N41,800
D. Fertiliser rate = 2,460 kg ha⁻¹; Maximum total profit = N40,000
Correct Answer
B
Correct Option:
Fertiliser rate = 2,460 kg ha⁻¹; Maximum total profit = N43,145

About This Question

This is Neco Model Questions Vol1 2022 Agricultural Science Question 45. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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