Suppose that a response y₁ is a function of two inputs x₁ and x₂ with y₁ = x²₂ – 4x²₁ –x₁x₂ + 4.

(a) Draw the contours of this response function.

(b) Consider another response y₂ = (x₁ – 2)² + (x₂ − 3)².

(c) Add the contours for y₂ and discuss how feasible it is to minimize both y₁ and y₂ with values for x₁ and x₂.