Answer to Question #62202 in Microeconomics for Alice

Question

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)}