Question: Given the following primal problem. Maximize Z = 12X1 + X2 S.T. X1 + X2

Given the following primal problem.

Maximize Z = 12X1 + X2

S.T.

X1 + X2 <= 6

X1 + 2X2 <=10

X1, X2 >=0

  1. Construct the dual problem for this primal problem
  2. Prove that the objective value for this primal problem equals the objective value for the corresponding dual problem
  3. Use the solution to the dual problem to identify the shadow prices for the resources in the primal problem.

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