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consider the canonical maximization linear programming problem below: Maximize f

ID: 2970363 • Letter: C

Question

consider the canonical maximization linear programming problem below:
Maximize f(x1+x2) = x1+x2
subject to x1+2x2<=4
                 3x1+x2 <=6
                    x1, x2>=0

State the dual canonical minimization linear programming problem.
Sketch the constraint sets for both problems above.
Solve both problems above by applying the simplex algorithm to a dual tableau. Indicate the movement in both constraint set diagrams exhibited by the basic solutions of successive tableaus.
Is complementary slackness exhibited in the solutions above? Why or why not?

Explanation / Answer

consider the canonical maximization linear programming problem below: Maximize f