Question: Suppose that a response y 1 is a function of two inputs x 1 and x 2 with y 1 = x 2 2

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.

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