Gce Model Questions Vol1 2017 Agricultural Science Question 19

Practice objective / multiple choice question 19 from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2017 Agricultural Science Objective / Multiple Choice Hard Difficulty
Question 19 GCE_MODEL_QUESTIONS_VOL1 • 2017 • AGRICULTURAL_SCIENCE • objective

A farmer has a 5‑ha plot that can be planted with wheat or maize, or a mixture of both. Fixed costs per hectare are: land rent £100, fertilizer £30, seed £20. Variable costs per tonne of yield are: wheat £50, maize £40. Expected yields are: wheat 3.5 t ha\(^{-1}\), maize 4.0 t ha\(^{-1}\). Market prices are: wheat £150 t\(^{-1}\) (but if total wheat production exceeds 10 t, the price falls by 10 %), maize £120 t\(^{-1}\). Determine the allocation of hectares to wheat (x) and maize (5 - x) that maximises profit, and state the maximum profit (to the nearest pound).

Answer Options

A. Wheat 3.00 ha, Maize 2.00 ha; maximum profit £900
Correct Answer B. Wheat 2.86 ha, Maize 2.14 ha; maximum profit £936
C. Wheat 1.86 ha, Maize 3.14 ha; maximum profit £880
D. Wheat 2.50 ha, Maize 2.50 ha; maximum profit £950
Correct Answer
B
Correct Option:
Wheat 2.86 ha, Maize 2.14 ha; maximum profit £936

About This Question

This is Gce Model Questions Vol1 2017 Agricultural Science Question 19. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Hard .

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