Neco 2024 Agricultural Science Question 18

Practice objective / multiple choice question 18 from the 2024 Neco Agricultural Science examination.

Neco 2024 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 18 NECO • 2024 • AGRICULTURAL_SCIENCE • objective

In a lake stocked with tilapia, the biomass \(B\) (tons) follows the logistic growth equation \(\frac{dB}{dt}= rB\left(1-\frac{B}{K}\right)-H\) where \(r = 0.4\) yr\(^{-1}\), carrying capacity \(K = 500\) tons and \(H\) is the constant annual harvest (tons yr\(^{-1}\)). The market price is ₦250,000 per ton and the cost of harvesting is ₦80,000 per ton.\n\nDetermine the harvest level \(H\) (tons per year) that maximizes annual profit and compute the maximum profit. Express the harvest to the nearest ton and profit to the nearest thousand Naira.

Answer Options

A. Harvest 40 tons per year; maximum profit ₦7,200,000
B. Harvest 60 tons per year; maximum profit ₦9,600,000
C. Harvest 55 tons per year; maximum profit ₦9,350,000
Correct Answer D. Harvest 50 tons per year; maximum profit ₦8,500,000
Correct Answer
D
Correct Option:
Harvest 50 tons per year; maximum profit ₦8,500,000

About This Question

This is Neco 2024 Agricultural Science Question 18. It is one of the objective questions from the 2024 Neco Agricultural Science examination.

Difficulty level: Hard .

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