Neco Model Questions Vol1 2025 Geography Question 18

Practice objective / multiple choice question 18 from the 2025 Neco Model Questions Vol1 Geography examination.

Neco Model Questions Vol1 2025 Geography Objective / Multiple Choice Hard Difficulty
Question 18 NECO_MODEL_QUESTIONS_VOL1 • 2025 • GEOGRAPHY • objective

A factory's output follows the Cobb‑Douglas function \(Q = 20\sqrt{LK}\), where \(L\) is the number of labour‑hours and \(K\) the number of capital units used in a month. Labour costs ₦150 per hour, capital costs ₦200 per unit per month and fixed overheads are ₦10 000 per month. Each widget sells for ₦500. The firm must produce at least 5 000 widgets per month. Find the integer values of \(L\) and \(K\) that minimise the total monthly cost while satisfying the output requirement, and compute the resulting monthly profit.

Answer Options

A. L = 291 hours, K = 215 units; profit ≈ ₦2 300 000
B. L = 300 hours, K = 210 units; profit ≈ ₦2 350 000
C. L = 280 hours, K = 220 units; profit ≈ ₦2 420 000
Correct Answer D. L = 291 hours, K = 215 units; profit ≈ ₦2 404 650
Correct Answer
D
Correct Option:
L = 291 hours, K = 215 units; profit ≈ ₦2 404 650

About This Question

This is Neco Model Questions Vol1 2025 Geography Question 18. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Geography examination.

Difficulty level: Hard .

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