(1)minZ=x1+2X2
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(1)minZ=x1+2X2
3x1+4x2>=6
x1+3x2>=3
2x1+X2>=2
x1,x2>=0
(2)minZ=2x1+X2
5x1+10x2-x3=8
x1+x2+x4=1
Xj>=0(j=1,2,3,4)
3x1+4x2>=6
x1+3x2>=3
2x1+X2>=2
x1,x2>=0
(2)minZ=2x1+X2
5x1+10x2-x3=8
x1+x2+x4=1
Xj>=0(j=1,2,3,4)
![(1)minZ=x1+2X2](/uploads/image/z/20109691-19-1.jpg?t=%281%29minZ%3Dx1%2B2X2)
都用Mathematica求解
(1)
Minimize[x1 + 2x2,3x1 + 4x2 ≥ 6 && x1 + 3x2 ≥ 3 && 2x1 + x2 ≥ 2 && x1≥ 0 && x2 ≥ 0,{x1,x2}]
结果:{12/5,{x1->6/5,x2->3/5}}
(2)Minimize[2x1 + x2,5x1 + 10x2 - x3 == 8 && x1 + x2 + x4 == 1 && x1 ≥ 0 && x2 ≥ 0 && x3 ≥ 0 && x4 ≥ 0,{x1,x2,x3,x4}]
结果:{4/5,{x1->0,x2->4/5,x3->0,x4->1/5}}
(1)
Minimize[x1 + 2x2,3x1 + 4x2 ≥ 6 && x1 + 3x2 ≥ 3 && 2x1 + x2 ≥ 2 && x1≥ 0 && x2 ≥ 0,{x1,x2}]
结果:{12/5,{x1->6/5,x2->3/5}}
(2)Minimize[2x1 + x2,5x1 + 10x2 - x3 == 8 && x1 + x2 + x4 == 1 && x1 ≥ 0 && x2 ≥ 0 && x3 ≥ 0 && x4 ≥ 0,{x1,x2,x3,x4}]
结果:{4/5,{x1->0,x2->4/5,x3->0,x4->1/5}}
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