Neco Model Questions Vol1 2022 Economics Question 44

Practice objective / multiple choice question 44 from the 2022 Neco Model Questions Vol1 Economics examination.

Neco Model Questions Vol1 2022 Economics Objective / Multiple Choice Hard Difficulty
Question 44 NECO_MODEL_QUESTIONS_VOL1 • 2022 • ECONOMICS • objective

A farmer produces output according to the Cobb‑Douglas function \(Q = 10 L^{0.5} F^{0.5}\), where \(L\) is labour (units) and \(F\) is fertilizer (kg). Currently \(L=16\) and \(F=9\). The output price is \(\text{₦}200\) per unit, the wage rate is \(\text{₦}20\) per unit of labour and fertilizer costs \(\text{₦}30\) per kg.\n(a) Compute the marginal product of labour (MPL) and marginal product of fertilizer (MPF).\n(b) Compute the marginal revenue product of each input (MRPL, MRPF).\n(c) With an additional budget of \(\text{₦}500\) for extra inputs, which input should the farmer purchase to maximise profit? How many units of that input can be bought and what is the resulting increase in profit?

Answer Options

A. Buy fertilizer. With ₦500 the farmer can purchase 20 kg (cost ₦600). Profit rises by about ₦22,000.
B. Buy labour. With ₦500 the farmer can hire 25 units (cost ₦500). Profit rises by about ₦19,500.
C. Buy fertilizer. With ₦500 the farmer can purchase 15 kg (cost ₦450). Profit rises by about ₦18,000.
Correct Answer D. Buy fertilizer. With ₦500 the farmer can purchase 16 kg (cost ₦480). Profit rises by about ₦20,853.
Correct Answer
D
Correct Option:
Buy fertilizer. With ₦500 the farmer can purchase 16 kg (cost ₦480). Profit rises by about ₦20,853.

About This Question

This is Neco Model Questions Vol1 2022 Economics Question 44. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Economics examination.

Difficulty level: Hard .

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