Neco 2021 Agricultural Science Question 46

Practice objective / multiple choice question 46 from the 2021 Neco Agricultural Science examination.

Neco 2021 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 46 NECO • 2021 • AGRICULTURAL_SCIENCE • objective

Consider a farmer who cultivates 8 ha of maize. Fixed costs are ₦150,000. Variable cost per ha is ₦30,000. Yield per ha (in tonnes) depends on the amount of fertilizer applied: each 50 kg of fertilizer per ha (denoted by \(n\) units) increases yield by 0.2 t above a base yield of 2.5 t, and costs an additional ₦5,000 per 50 kg. The market price is ₦40,000 per tonne, but if total production exceeds 20 t the price falls by 5 %. The farmer can apply at most 5 units of fertilizer per ha. Determine the value of \(n\) that maximizes profit and state the maximum profit.

Answer Options

A. n = 5 (i.e., 250 kg fertilizer per ha) giving a maximum profit of ₦460,000
B. n = 4 (i.e., 200 kg fertilizer per ha) giving a maximum profit of ₦453,200
C. n = 3 (i.e., 150 kg fertilizer per ha) giving a maximum profit of ₦432,400
Correct Answer D. n = 5 (i.e., 250 kg fertilizer per ha) giving a maximum profit of ₦474,000
Correct Answer
D
Correct Option:
n = 5 (i.e., 250 kg fertilizer per ha) giving a maximum profit of ₦474,000

About This Question

This is Neco 2021 Agricultural Science Question 46. It is one of the objective questions from the 2021 Neco Agricultural Science examination.

Difficulty level: Hard .

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