Question: Consider the following primal LP problem: max T R = 6x1 + 8x2 + 0xs1 + 0xs2 + 0xs3 a) Using the Transposition Principle, formulate

Consider the following primal LP problem:

max T R = 6x1 + 8x2 + 0xs1 + 0xs2 + 0xs3

dual variables s.t. 4x1 +52 +2,1 3x1 + 2x2 = 15 Y1

a) Using the Transposition Principle, formulate the dual problem.

b) Show that – when the primal constraints are specified as inequalities (prior to include the surplus variables) – the corresponding dual variables are nonnegative.

dual variables s.t. 4x1 +52 +2,1 3x1 + 2x2 = 15 Y1 +1.2

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