Post Utme Achievers University 2022 Commerce Question 17

Practice objective / multiple choice question 17 from the 2022 Post Utme Achievers University Commerce examination.

Post Utme Achievers University 2022 Commerce Objective / Multiple Choice
Question 17 POST_UTME_ACHIEVERS_UNIVERSITY • 2022 • COMMERCE • objective

A firm produces two products, X and Y, using two inputs, labor and capital. The production function for X is given by Q_X = 2L^0.5K^0.5, where Q_X is the quantity of X produced, L is the amount of labor used, and K is the amount of capital used. The production function for Y is given by Q_Y = 3L^0.2K^0.8. If the firm has 100 units of labor and 200 units of capital, how many units of X and Y should it produce to maximize its profits?

Answer Options

A. Q_X = 50, Q_Y = 150
Correct Answer B. Q_X = 75, Q_Y = 100
C. Q_X = 100, Q_Y = 50
D. Q_X = 150, Q_Y = 25
Correct Answer
B
Correct Option:
Q_X = 75, Q_Y = 100

About This Question

This is Post Utme Achievers University 2022 Commerce Question 17. It is one of the objective questions from the 2022 Post Utme Achievers University Commerce examination.

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