Gce Model Questions Vol1 2023 Agricultural Science Question 7

Practice objective / multiple choice question 7 from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2023 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 7 GCE_MODEL_QUESTIONS_VOL1 • 2023 • AGRICULTURAL_SCIENCE • objective

A farmer has \(10\) ha of land to allocate between wheat and maize. Wheat yields \(3\) t ha⁻¹ and sells for N120 kg⁻¹; maize yields \(2.5\) t ha⁻¹ and sells for N80 kg⁻¹. The variable cost per hectare for wheat is \(N15\,000 + N5\,000\,x\), where \(x\) is the number of hectares planted to wheat; for maize the variable cost per hectare is \(N12\,000 + N4\,000\,y\), where \(y\) is the number of hectares planted to maize. Fixed costs are N50 000. Let \(x\) denote hectares of wheat (so \(y = 10 - x\)). Determine the value of \(x\) that maximises profit and compute the maximum profit.

Answer Options

A. Allocate about 8.5 ha to wheat and 1.5 ha to maize; maximum profit ≈ N2 400 000
B. Allocate about 7.0 ha to wheat and 3.0 ha to maize; maximum profit ≈ N2 600 000
C. Allocate about 10 ha to wheat and 0 ha to maize; maximum profit ≈ N2 300 000
Correct Answer D. Allocate about 9.1 ha to wheat and 0.9 ha to maize; maximum profit ≈ N2 532 748
Correct Answer
D
Correct Option:
Allocate about 9.1 ha to wheat and 0.9 ha to maize; maximum profit ≈ N2 532 748

About This Question

This is Gce Model Questions Vol1 2023 Agricultural Science Question 7. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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