A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility function U (x, y) = 10x0.6y0.4 a. How many units of each commodity should the consumer buy to maximize utility? b. Is the budget constraint binding?
A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility function U (x, y) = 10x0.6y0.4 a. How many units of each commodity should the consumer buy to maximize utility? b. Is the budget constraint binding?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
A consumer has GH¢600 to spend on two commodities, A and B. Commodity A costs GH¢20 per unit and Commodity B costs GH¢30 per unit. Suppose that the utility derived by the consumer from x units of Commodity A, and y Commodity B is given by the Cobb-Douglas utility function
U (x, y) = 10x0.6y0.4
a. How many units of each commodity should the consumer buy to
maximize utility?
b. Is the budget constraint binding?
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