Perfect Complementary Utility Demands Calculator
Alpha \( (\alpha) \):
Beta \( (\beta) \):
Price of X \( (P_x) \):
Price of Y \( (P_y) \):
Income \( (M) \):
Calculate Optimal Demands
Max \( U = \min\left(\alpha X, \beta Y \right) \) Subject to \( M = XP_x + YP_y \)
\( X^* = \frac{\beta M}{P_x \beta + P_y \alpha} \)
\( Y^* = \frac{\alpha M}{P_x \beta + P_y \alpha} \)