Gce Model Questions Vol1 2022 Agricultural Science Question 5

Practice objective / multiple choice question 5 from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Gce Model Questions Vol1 2022 Agricultural Science Objective / Multiple Choice Medium Difficulty
Question 5 GCE_MODEL_QUESTIONS_VOL1 • 2022 • AGRICULTURAL_SCIENCE • objective

A farmer wishes to apply a fertilizer mixture to a 5‑ha field to supply exactly 120 kg of nitrogen (N), 60 kg of phosphorus (P\(_2\)O\(_5\)) and 40 kg of potassium (K\(_2\)O). Two commercial fertilizers are available: Fertilizer X contains 20 % N, 10 % P\(_2\)O\(_5\), 5 % K\(_2\)O and costs ₦12 000 per tonne; Fertilizer Y contains 10 % N, 20 % P\(_2\)O\(_5\), 15 % K\(_2\)O and costs ₦15 000 per tonne. Determine the amounts (in tonnes, to two decimal places) of Fertilizer X and Fertilizer Y that meet the nutrient requirements at minimum total cost, allowing nutrients to meet or exceed the targets. Provide the answer as "X = … t, Y = … t".

Answer Options

A. X = 540.00 t, Y = 130.00 t
B. X = 560.00 t, Y = 120.00 t
Correct Answer C. X = 560.00 t, Y = 80.00 t
D. X = 600.00 t, Y = 100.00 t
Correct Answer
C
Correct Option:
X = 560.00 t, Y = 80.00 t

About This Question

This is Gce Model Questions Vol1 2022 Agricultural Science Question 5. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Agricultural Science examination.

Difficulty level: Medium .

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