Question: (a) Solve the primal linear program. Do not transform the problem into standard form. What is the optimal solution and objective value? (b) Formulate the

(a) Solve the primal linear program. Do not transform the problem

(a) Solve the primal linear program. Do not transform the problem into standard form. What is the optimal solution and objective value?

(b) Formulate the dual linear program. Please clearly define the dual variables associated with each primal constraint. Solve the dual linear program. What is the optimal solution and objective value?

(c) Do the primal and dual linear programs have the same objective value? Demonstrate whether the primal and the dual linear programs optimal solutions satisfy complementary slackness conditions.

(25 points) Consider the following linear program: minxs.t.5x14x2+2x33x1x2+x3=34x1+3x2x36x12x23x10,x20,x3free. (25 points) Consider the following linear program: minxs.t.5x14x2+2x33x1x2+x3=34x1+3x2x36x12x23x10,x20,x3free

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