Question: 3. Consider the problem: Minimize z = 3.r1 + 2x2 subject to: 21 + 2 10 3.x1 - 212 26 + T2 6 and $1

3. Consider the problem: Minimize z = 3.r1 + 2x2 subject to: 21 + 2 10 3.x1 - 212 26 + T2 6 and $1 2 0, 12 2 0. (a) Sketch the feasible set and find all corner feasible points. (b) Use the KKT conditions at each corner point to determine whether or not the minimum occurs there. Include a diagram in each case to explain your answer. (c) Check directly that the point satisfying the KKT conditions is indeed optimal and find the minimum value of z. (d) What about the maximum value of z subject to these constraints

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