Neco 2018 Economics Question 6

Practice objective / multiple choice question 6 from the 2018 Neco Economics examination.

Neco 2018 Economics Objective / Multiple Choice Hard Difficulty
Question 6 NECO • 2018 • ECONOMICS • objective

Farmer A has 10 hectares of land to allocate between maize (x hectares) and soybeans (y hectares) with \(x + y = 10\). The yield of maize per hectare (in tons) is given by \(1 + 0.2x\) and the yield of soybeans per hectare (in tons) is \(2 - 0.1x\). Market prices are \(\text{₦}300\) per ton for maize and \(\text{₦}250\) per ton for soybeans. The farm incurs a fixed cost of \(\text{₦}2{,}000\) and a variable cost of \(\text{₦}600\) per hectare of maize and \(\text{₦}1{,}000\) per hectare of soybeans. Determine the allocation (x and y) that maximizes profit. Give your answer to two decimal places.

Answer Options

A. 5.50 ha of maize and 4.50 ha of soybeans (approx)
Correct Answer B. 7.58 ha of maize and 2.42 ha of soybeans (approx)
C. 6.00 ha of maize and 4.00 ha of soybeans (approx)
D. 8.25 ha of maize and 1.75 ha of soybeans (approx)
Correct Answer
B
Correct Option:
7.58 ha of maize and 2.42 ha of soybeans (approx)

About This Question

This is Neco 2018 Economics Question 6. It is one of the objective questions from the 2018 Neco Economics examination.

Difficulty level: Hard .

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