Question: Consider the following (piecewise linear) minimization problem where (x, y, z) R: minimize ly + z| + |x-y| subject to y-z5 y 21 (a)

Consider the following (piecewise linear) minimization problem where (x, y, z) R:

Consider the following (piecewise linear) minimization problem where (x, y, z) R: minimize ly + z| + |x-y| subject to y-z5 y 21 (a) Solve this problem graphically. Hint: try to find a way to graph this problem (or an equivalent problem) in R. Note that there is no constraint on 2. (b) Convert this problem into a Linear Programming Problem by introducing a new vari- able u.

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