Post Utme Wellspring University 2020 Economics Question 12

Practice objective / multiple choice question 12 from the 2020 Post Utme Wellspring University Economics examination.

Post Utme Wellspring University 2020 Economics Objective / Multiple Choice
Question 12 POST_UTME_WELLSPRING_UNIVERSITY • 2020 • ECONOMICS • objective

A firm produces two goods, A and B, u\sing two inputs, Labour and Capital. The production function for good A is given by \( Q_A = 2L^0.5K^{0.5} \) and for good B is given by \( Q_B = 3L^{0.5}K^{0.5} \). If the firm has 100 units of Labour and 50 units of Capital, find the optimal mix of good A and good B u\sing the method of Lagrange multipliers.

Answer Options

Correct Answer A. \( Q_A = 50, Q_B = 25 \)
B. \( Q_A = 25, Q_B = 50 \)
C. \( Q_A = 100, Q_B = 0 \)
D. \( Q_A = 0, Q_B = 100 \)
Correct Answer
A
Correct Option:
\( Q_A = 50, Q_B = 25 \)

About This Question

This is Post Utme Wellspring University 2020 Economics Question 12. It is one of the objective questions from the 2020 Post Utme Wellspring University Economics examination.

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