For each of the utility functions below derive the own-price demand functions for x₁ and x₂. The price of x₁ and x2 are p₁ and på respectively. The consumer has income from endowment (3, 3). (a) u(x₁, x₂) = min{2x1, x₂} (b) u(x1, x₂) = x² + x1²2 (c) u(x₁, x₂) = ln(x₁) + In(x₂) (d) u(x1, X2) = 2x1+x2 (e) u(x1, x₂) = 10x0.5 + x2 (f) u(x₁, x₂) = x₁ + 10x2.5