Post Utme Unilorin 2022 Economics Question 33

Practice objective / multiple choice question 33 from the 2022 Post Utme Unilorin Economics examination.

Post Utme Unilorin 2022 Economics Objective / Multiple Choice
Question 33 POST_UTME_UNILORIN • 2022 • ECONOMICS • objective

A firm's production function is given by \( Q = 100L^{0.5}K^{0.25} \), where Q is output, L is labor, and K is capital. 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 firm's optimal levels of L and K that maximize its 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 33. It is one of the objective questions from the 2022 Post Utme Unilorin Economics examination.

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