5. Solve the linear program below as follows: First, solve the dual problem graphically. Then use the solution to the dual problem to determine which variables in the primal problem are zero in the optimal primal solution. [Hint: Invoke complementary slackness.] Finally, solve for the optimal basic variables in the primal, using the primal equations. Primal subject to: Maximize 4x2 + 3x3 + 2x4 -8x5. 3x1 + x2 + 2x3 + x4 = 3, XI - x2 + x4 x5 2 2, x) ≥ 0 (j=1, 2, 3, 4, 5).

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