Question: Please answer below problem with details ? Consider the following LP problem: min 3x1 +5x2 +5x3 s.t. 4x1 +x2 +2x3 = 12 3x1 +x2 =

Please answer below problem with details ?

Consider the following LP problem:

min 3x1 +5x2 +5x3

s.t. 4x1 +x2 +2x3 = 12 3x1 +x2 = 3

x1, x2, x3 0.

(1) Write the dual.

(2) Given that the optimal solution to the above LP is x = (1, 0, 4)T, find the dual optimal.

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