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Linear Programming. A linear programming problem has linear objective function and linear constraint and variables that are restricted to non-negative values. -X 1 +2X 2 -X 3 <=70 2X 1 -2X 3 =50 X 1 -2X 2 2 +4X3<=10 X1+X2+X3=6 2X 1 +5X 2 +X 1 X 2 <=25 3X 1/2 +2X 2 -X 3 >=15.

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