Post Utme Unilorin 2022 Economics Question 31

Practice objective / multiple choice question 31 from the 2022 Post Utme Unilorin Economics examination.

Post Utme Unilorin 2022 Economics Objective / Multiple Choice
Question 31 POST_UTME_UNILORIN • 2022 • ECONOMICS • objective

Consider a firm that produces two goods, X and Y, u\sing two inputs, labor (L) and capital (K). The production function for good X is given by \( X = 2L^{0.5}K^{0.25} \), while the production function for good Y is given by \( Y = 3L^{0.75}K^{0.125} \). If the firm's budget constraint is given by \( 2L + 3K = 100 \), and the prices of labor and capital are $10 and $20 respectively, find the optimal levels of L and K that maximize the firm's total output.

Answer Options

A. \( L = 20, K = 10 \)
Correct Answer B. \( L = 15, K = 20 \)
C. \( L = 10, K = 15 \)
D. \( L = 5, K = 25 \)
Correct Answer
B
Correct Option:
\( L = 15, K = 20 \)

About This Question

This is Post Utme Unilorin 2022 Economics Question 31. It is one of the objective questions from the 2022 Post Utme Unilorin Economics examination.

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