8 If it seems difficult to believe that the shadow price of an equality constraint should be urs, try this problem.

Consider the following two LPs:

In which LP will the constraint have a positive shadow price? Which will have a negative shadow price?

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max z = x2 x1 + x2 = 2 X1, X20 (LP 1) s.t. max z = x2 (LP 2) s.t. -x-x2=-2 x1, x20