E包GH厄 例1写出下面线性规划的对偶规划 minZ=2x+x2-4X3 原问题即 2X1+3x2+x3 ≥1 minZ=2x+x2-4X3 3x1-x2+x3≤4 2x1+3x2+x3≥1 X1 +x3=3 -3x+X2-X3≥-4 X1,X2≥0 X1 +x33 其对偶为：maxW-y1-4y2+3y3 X1,X2≥0 2y13y2+y3≤2 3y1+y2 ≤1 y1-y2+y3 三-4 y1,y2≥0 HI口例1 写出下面线性规划的对偶规划 minZ=2x1+ x2 -4x3 2x1+3x2 +x3 ≥1 3x1 - x2 +x3 ≤4 x1 +x3 =3 x1 ,x2≥0 原问题即 minZ=2x1+ x2 -4x3 2x1+3x2 +x3 ≥1 -3x1+ x2 -x3 ≥-4 x1 +x3 =3 x1 ,x 其对偶为：maxW=y1 -4y2+3y3 2≥0 2y1 - 3y2 +y3 ≤2 3y1+ y2 ≤1 y1 - y2 +y3 =-4 y1 ,y2≥0