Waec Model Questions Vol1 2019 Agricultural Science Question 21
Practice objective / multiple choice question 21 from the 2019 Waec Model Questions Vol1 Agricultural Science examination.
A farmer intends to grow soybeans on a 1‑hectare field. Fixed costs (land preparation, labour, etc.) are ₦20,000 per hectare and seed costs are ₦500 per hectare. Fertiliser is applied at a rate of F kg per hectare. The government gives a subsidy of ₦0.50 per kg for the first 100 kg of fertiliser; beyond 100 kg the farmer pays the full price of ₦2.00 per kg. The yield (in tonnes per hectare) depends on the amount of fertiliser as follows: \[ Y(F)=\begin{cases}0.5+0.02F,&F\le 100\\2.5+0.01(F-100),&F>100\end{cases} \] The market price of soybeans is ₦150,000 per tonne. Determine the smallest amount of fertiliser (in whole kilograms, multiple of 10 kg) that will give the farmer a profit of at least ₦300,000.
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About This Question
This is Waec Model Questions Vol1 2019 Agricultural Science Question 21. It is one of the objective questions from the 2019 Waec Model Questions Vol1 Agricultural Science examination.
Difficulty level: Hard .
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