A.) Without solving the expenditure minimization problem, recover the Hicksian demands and the expenditure function from the Mashallian demands and the indirect utility function. (B) Using the Slutsky equation find the total, income and substitution effect on smoothie bowls for a small increase in px when px = 2, py = 1, and I = 72

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A.) Without solving the expenditure minimization problem, recover the Hicksian demands and the expenditure function from the Mashallian demands and the indirect utility function.
(B) Using the Slutsky equation find the total, income and substitution effect on smoothie
bowls for a small increase in px when px = 2, py = 1, and I = 72

Georgia’s preference over smoothie bowls (x) and frozen yogurt (y) is represented by the utility function \( U(x, y) = x^{0.5} + y^{0.5} \).

Her Marshallian demands are given by:

\[
g_x(p_x, p_y, I) = \frac{p_y I}{p_x (p_x + p_y)}
\]

\[
g_y(p_x, p_y, I) = \frac{p_x I}{p_y (p_x + p_y)}
\]

No graphs or diagrams are present in the image.
Transcribed Image Text:Georgia’s preference over smoothie bowls (x) and frozen yogurt (y) is represented by the utility function \( U(x, y) = x^{0.5} + y^{0.5} \). Her Marshallian demands are given by: \[ g_x(p_x, p_y, I) = \frac{p_y I}{p_x (p_x + p_y)} \] \[ g_y(p_x, p_y, I) = \frac{p_x I}{p_y (p_x + p_y)} \] No graphs or diagrams are present in the image.
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