If a consumer maximizes a utility function subject to a budget constraint and has strictly convex preferences, then his behavior will necessarily satisfy the weak axiom of revealed preference and the strong axiom of revealed preference.

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If a consumer maximizes a utility function subject to a budget constraint and has strictly convex preferences, then his behavior will necessarily satisfy the weak axiom of revealed preference and the strong axiom of revealed preference, according to the theory of consumer choice.

If a Consumer Maximizes a Utility Function Subject to a Budget