Question: Consider the following LP problem: Find xj 0, j = 1,..., 4 that a) Define the Lagrangean function for it. b) State the dual

Consider the following LP problem: Find xj ≥ 0, j = 1,..., 4 that

maximize TR 521 +6x2+3x3 +154 == 5x13x2 sub ect to + 4x3

a) Define the Lagrangean function for it.

b) State the dual problem using the Transposition Principle for linear programming.

d) Define the Lagrangean function for the dual problem.

e) Show that the two Lagrangean functions are identical.

maximize TR 521 +6x2+3x3 +154 == 5x13x2 sub ect to + 4x3 + 4x3 + 21 + 22 21 +212 +213 + 2410 8 +33 +4412

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