Post Utme Noun 2025 Economics Question 10

Practice objective / multiple choice question 10 from the 2025 Post Utme Noun Economics examination.

Post Utme Noun 2025 Economics Objective / Multiple Choice
Question 10 POST_UTME_NOUN • 2025 • ECONOMICS • objective

Consider a firm that produces a \single good. The production function is given by \( Q = 10K^{\frac{1}{2}}L^{\frac{1}{2}} \), where ( Q ) is output, ( K ) is capital, and ( L ) is labor. If the price of the good is \( P = 10 \) and the firm has 100 units of capital and 100 units of labor, what is the value of the marginal product of capital (MPC)?

Answer Options

Correct Answer A. \( MPC = \frac{1}{2} \times 10^{\frac{1}{2}} \times 100^{\frac{1}{2}} \)
B. \( MPC = \frac{1}{2} \times 10^{\frac{1}{2}} \times 100^{-\frac{1}{2}} \)
C. \( MPC = \frac{1}{2} \times 10 \times 100^{\frac{1}{2}} \)
D. \( MPC = \frac{1}{2} \times 10 \times 100 \)
Correct Answer
A
Correct Option:
\( MPC = \frac{1}{2} \times 10^{\frac{1}{2}} \times 100^{\frac{1}{2}} \)

About This Question

This is Post Utme Noun 2025 Economics Question 10. It is one of the objective questions from the 2025 Post Utme Noun Economics examination.

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