This questions examines the Lump Sum Principle on subsidies. Consider an indi- vidual with a Cobb-Douglas utility function U(x, y) = x¹/2y¹/2, and faces prices px, Py with an income of $1. (a) First, find the optimal demand for x and y and compute the indirect utility function, V(Pr. Pus I).

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**Problem 1:** This question examines the **Lump Sum Principle** on subsidies. Consider an individual with a Cobb-Douglas utility function \( U(x, y) = x^{1/2}y^{1/2} \), and faces prices \( p_x, p_y \) with an income of \( I \).

(a) First, find the optimal demand for \( x \) and \( y \) and compute the indirect utility function, \( V(p_x, p_y, I) \).
Transcribed Image Text:**Problem 1:** This question examines the **Lump Sum Principle** on subsidies. Consider an individual with a Cobb-Douglas utility function \( U(x, y) = x^{1/2}y^{1/2} \), and faces prices \( p_x, p_y \) with an income of \( I \). (a) First, find the optimal demand for \( x \) and \( y \) and compute the indirect utility function, \( V(p_x, p_y, I) \).
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