Question: 3. Consider the linear optimization problem maximize @ x subject to Ax = b, $20 with 4 1 -6 -1 11 A = -1 1

3. Consider the linear optimization problem maximize @ x subject to

3. Consider the linear optimization problem maximize @ x subject to Ax = b, $20 with 4 1 -6 -1 11 A = -1 1 -4 3 b = -2 CT = [1 -2 1 1 1]. 3 -6 5 3 -5 -10 (a) Show that x* = [1 3 1 0 0] is a feasible solution. (b) Show that d = [1 1 1 1 1] is a direction of cost increase. (c) Prove that the half line (x* + ed 0s 0

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