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Suppose that a consumer has monotonic and strictly convex preferences and consumes goods x and y. The consumer maximizes his utility with respect to his budget constraint. If the price of x is p0x (and the price of y is py), the consumer demands the bundle (x0*, y0*) and reaches the utility level u0. Now suppose that the price of good x decreases to p1x. After the price change, the consumer demands the bundle (x1*, y1*) and reaches the utility level u1.