Neco Model Questions Vol1 2020 Agricultural Science Question 17

A farmer intends to raise 50 goats, each to gain 15 kg over 120 days. The daily weight gain per goat is therefore \(0.125\) kg. For each kilogram of gain the goats require \(2.5\) MJ of metabolizable energy and \(0.5\) kg of crude protein. The feed mixture consists of Ingredient A (crude protein 20 %, metabolizable energy 6 MJ kg\(^{-1}\), cost ₦200 kg\(^{-1}\)) and Ingredient B (crude protein 12 %, metabolizable energy 10 MJ kg\(^{-1}\), cost ₦120 kg\(^{-1}\)). Each goat is offered exactly \(0.5\) kg of feed per day, the remainder being Ingredient B. Determine the minimum amount (in kg, to three decimal places) of Ingredient A that must be included per goat per day to satisfy both the energy and protein requirements, and compute the daily feed cost per goat at this minimum.