Problem 4 Consider the following linear program: min 6x1 +4x2+2x3 s.t. x₁+x₂x3 ≥ −1 2x1 + 2x3 ≥ 1 Xi ≥ 0 (a) Write the dual linear program and solve graphically. Your graph should include: labels for each constraint, light shading of the feasible region, labels for each basic feasible solution, and the objective value for each basic feasible solution. (b) Use complementary slackness to find the corresponding optimal solution to the primal problem.

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