Suppose the utility function is represented by the following equation: U (X, Y) = XY + X + 2Y + 2 and the budget constraint (I = PxX + PyY) is represented by (I = 95; PX = 10 and PY = 5): 95 = 10X + 5Y a. Determine the optimal quantity to buy of X and Z subject to the budget constraint. b. What is the total profit under the optimal combination? c. By how much will total profit increase if income increases by one dollar?
Suppose the utility function is represented by the following equation: U (X, Y) = XY + X + 2Y + 2 and the budget constraint (I = PxX + PyY) is represented by (I = 95; PX = 10 and PY = 5): 95 = 10X + 5Y a. Determine the optimal quantity to buy of X and Z subject to the budget constraint. b. What is the total profit under the optimal combination? c. By how much will total profit increase if income increases by one dollar?
Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
Problem 1SQ
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Suppose the utility function is represented by the following equation: U (X, Y) = XY + X + 2Y + 2 and the budget constraint (I = PxX + PyY) is represented by (I = 95; PX = 10 and PY = 5): 95 = 10X + 5Y
a. Determine the optimal quantity to buy of X and Z subject to the budget constraint.
b. What is the total profit under the optimal combination?
c. By how much will total profit increase if income increases by one dollar?
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