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Consider the following LP, (). Its optimal solution is (1 , 2 , 3 ) = (21,0,20), and its optimal value is 80. min 1

Consider the following LP, (). Its optimal solution is (1 , 2 , 3 ) = (21,0,20), and its optimal value is 80.

min 1 + 62 + 33

s.t. 1 + 2 + 3 = 41

2 + 3 20

1 30

1, 2, 3 0

Solve for the dual optimal values based on its primal optimal solution and optimal value.

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