5. Consider the following LP: Maximize z = XI + 3X2 subject to -XI + x2 s4...

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5. Consider the following LP:

Maximize z = XI + 3X2 subject to

-XI + x2 s4 Xl unrestricted X2 ?:: 0

(a) Determine all the basic feasible solutions of the problem.

(b) Use direct substitution in the objective function to determine the best basic solution.

(c) Solve the problem graphically, and verify that the solution obtained in

(c) is the optimum.

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