Question: Take the function f (x, y) x3y 1 2 y2x2 x4 2x. You want to find the joint minimizer (x0, y0) over x

Take the function f (x, y) Æ ¡x3y Å 1 2 y2x2 Åx4 ¡2x. You want to find the joint minimizer

(x0, y0) over x ¸ 0, y ¸ 0.

(a) Try nested minimization. Given x, find the minimizer of f (x, y) over y. Write this solution as y(x).

(b) Substitute y(x) into f (x, y). Find the minimizer x0.

(c) Find y0.

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