Gce Model Questions Vol1 2017 Geography Question 13

Practice objective / multiple choice question 13 from the 2017 Gce Model Questions Vol1 Geography examination.

Gce Model Questions Vol1 2017 Geography Objective / Multiple Choice Hard Difficulty
Question 13 GCE_MODEL_QUESTIONS_VOL1 • 2017 • GEOGRAPHY • objective

A farmer has \(10\) ha of land to allocate between two crops, X and Y. Crop X: yield = \(3\) tonnes ha⁻¹, profit = £150 per tonne, labour requirement = \(2\) days ha⁻¹, water use = \(5\) units ha⁻¹. Crop Y: yield = \(2\) tonnes ha⁻¹, profit = £300 per tonne, labour requirement = \(3\) days ha⁻¹, water use = \(4\) units ha⁻¹. The farmer has at most \(24\) labour‑days and \(44\) water units available. Determine the allocation of hectares to X and Y that maximises total profit, and state the maximum profit.

Answer Options

Correct Answer A. X ≈ 5.14 ha, Y ≈ 4.57 ha; maximum profit ≈ £5 057
B. X ≈ 4.50 ha, Y ≈ 5.50 ha; maximum profit ≈ £5 200
C. X ≈ 5.14 ha, Y ≈ 4.57 ha; maximum profit ≈ £4 900
D. X ≈ 6.00 ha, Y ≈ 4.00 ha; maximum profit ≈ £4 800
Correct Answer
A
Correct Option:
X ≈ 5.14 ha, Y ≈ 4.57 ha; maximum profit ≈ £5 057

About This Question

This is Gce Model Questions Vol1 2017 Geography Question 13. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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