Gce Model Questions Vol1 2019 Geography Question 10
Practice objective / multiple choice question 10 from the 2019 Gce Model Questions Vol1 Geography examination.
A farmer cultivates wheat on 10 ha. The base yield without nitrogen fertilizer is \(2.5\) t ha\(^{-1}\). Applying nitrogen increases yield by \(0.8\) t ha\(^{-1}\) for each 50 kg N ha\(^{-1}\) applied, but the response halves to \(0.4\) t ha\(^{-1}\) per 50 kg N ha\(^{-1}\) for any N applied beyond 150 kg ha\(^{-1}\). Nitrogen costs \(\₦30\) per kg. Wheat sells for \(\₦200\) per kg. Any nitrogen applied above 200 kg ha\(^{-1}\) can be sold as a by‑product at \(\₦10\) per kg. Environmental regulations limit the maximum nitrogen application to 300 kg ha\(^{-1}\). Determine the amount of nitrogen (kg ha\(^{-1}\)) that maximises profit and state the maximum profit per hectare (in \(\₦\)).
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About This Question
This is Gce Model Questions Vol1 2019 Geography Question 10. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Geography examination.
Difficulty level: Hard .
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