Constrained Utility Maximization
Visualizing the trade-off between preferences (MRS) and budget constraints ($p_x/p_y$)
Utility Function
Cobb-Douglas (x^α y^(1-α))
Perfect Substitutes (ax + by)
Perfect Complements (min{ax, by})
Quasi-linear (a·ln(x) + y)
Budget Parameters
Price of X ($p_x$):
2.0
Price of Y ($p_y$):
1.0
Income ($m$):
20
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Manual Zoom:
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Utility Parameters
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Budget Line
Optimal Curve ($U^*$)
Reference Curves (Lower/Higher U)
Optimum Bundle
Optimal Bundle ($x^*, y^*$)
Calculating...
Slopes: MRS vs Price Ratio
Calculating...
Explanation