Question: Problem 4. Consider the following linear program. Maximize z=2x1+2x2 subject to x1+2x2203x1+4x2203x1+2x236x1,x20 (a) (10 pts) Sketch the feasible region. (b) (5pts) Write the problem in

Problem 4. Consider the following linear program. Maximize z=2x1+2x2 subject to

Problem 4. Consider the following linear program. Maximize z=2x1+2x2 subject to x1+2x2203x1+4x2203x1+2x236x1,x20 (a) (10 pts) Sketch the feasible region. (b) (5pts) Write the problem in the standard form. (c) (5 pts) Identify the defining variable for each hyperplane bounding the feasible region. (d) (10 pts) Specify the basic and nonbasic variables for each extreme point. (e) (5 pts) Graphically determine the optimal extreme point and specify the optimal basis matrix

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