Gce Model Questions Vol1 2017 Agricultural Science Question 45

Practice objective / multiple choice question 45 from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 45 GCE_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

A wheat farmer faces the following data (all costs in \(\text{₦}\)): - Fixed costs per season: \(50{,}000\). - Variable cost per hectare (excluding fertilizer): \(200\). - Fertilizer costs \(0.5\) ₦ per kg. - Wheat price: \(2\) ₦ per kg. - Yield per hectare (kg) as a function of fertilizer applied \(x\) (kg ha\(^{-1}\)) is \(Y = 5{,}000x - 100x^{2}\) for \(0 \le x \le 25\). Determine the amount of fertilizer (in kg ha\(^{-1}\)) that maximises the farmer's profit per hectare and calculate the maximum profit per hectare (rounded to the nearest naira).

Answer Options

A. 20 kg fertilizer per hectare; maximum profit = ₦100,000 per hectare
Correct Answer B. 25 kg fertilizer per hectare; maximum profit = ₦124,788 per hectare
C. 22 kg fertilizer per hectare; maximum profit = ₦112,500 per hectare
D. 24 kg fertilizer per hectare; maximum profit = ₦119,000 per hectare
Correct Answer
B
Correct Option:
25 kg fertilizer per hectare; maximum profit = ₦124,788 per hectare

About This Question

This is Gce Model Questions Vol1 2017 Agricultural Science Question 45. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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