Gce Model Questions Vol1 2020 Geography Question 1

Practice objective / multiple choice question 1 from the 2020 Gce Model Questions Vol1 Geography examination.

Gce Model Questions Vol1 2020 Geography Objective / Multiple Choice Hard Difficulty
Question 1 GCE_MODEL_QUESTIONS_VOL1 • 2020 • GEOGRAPHY • objective

A farmer plans to fertilise a 10‑ha wheat field. The crop requires a total of \(120\,\text{kg}\) of nitrogen per hectare. The farmer has two fertilisers: Fertiliser A contains \(30\%\) N and \(5\%\) P and costs $0.50 per kg; Fertiliser B contains \(10\%\) N and \(20\%\) P and costs $0.30 per kg. The field also needs a total of \(40\,\text{kg}\) of phosphorus per hectare. Determine how many kilograms of each fertiliser the farmer should apply to meet exactly both the nitrogen and phosphorus requirements, and calculate the minimum total cost (to the nearest dollar).

Answer Options

Correct Answer A. Fertiliser A ≈ 3636 kg, Fertiliser B ≈ 1092 kg; minimum total cost ≈ $2146
B. Fertiliser A ≈ 4000 kg, Fertiliser B ≈ 800 kg; minimum total cost ≈ $2250
C. Fertiliser A ≈ 3500 kg, Fertiliser B ≈ 1200 kg; minimum total cost ≈ $2100
D. Fertiliser A ≈ 3800 kg, Fertiliser B ≈ 1000 kg; minimum total cost ≈ $2180
Correct Answer
A
Correct Option:
Fertiliser A ≈ 3636 kg, Fertiliser B ≈ 1092 kg; minimum total cost ≈ $2146

About This Question

This is Gce Model Questions Vol1 2020 Geography Question 1. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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