# Answer to Question #62202 in Microeconomics for Alice

Question #62202

Suppose a consumer has a utility function: u( x₁ , x₂) = min {x₁, 2x₂},

ii.) Prove that, for any bundles (x₁, x2) and (y1, y2), the utility function satisfies:

u( x₁/2 + y1/2 , x₂/2 +y2/2 ) ≥ min { u(x₁, x₂) , u(y1 , y2)}

ii.) Prove that, for any bundles (x₁, x2) and (y1, y2), the utility function satisfies:

u( x₁/2 + y1/2 , x₂/2 +y2/2 ) ≥ min { u(x₁, x₂) , u(y1 , y2)}

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