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3333333 用LINGO编程:min=x1+x2+x3+x4+x5+x6+x7+x8+x9+x10;3*x1+2*x2+2*x3+x4+x5+x6>=75;
x2+2*x4+x6+3*x7+2*x8+x9>=50;
x3+3*x5+x6+2*x8+3*x9+4*x10>=110;
Global optimal solution found.
Objective value: 63.33333
Infeasibilities: 0.000000
Total solver iterations: 3
Variable Value Reduced Cost
X1 18.33333 0.000000
X2 0.000000 0.5555556E-01
X3 0.000000 0.1111111
X4 0.000000 0.1111111
X5 20.00000 0.000000
X6 0.000000 0.1666667
X7 0.000000 0.1666667
X8 25.00000 0.000000
X9 0.000000 0.5555556E-01
X10 0.000000 0.1111111
Row Slack or Surplus Dual Price
1 63.33333 -1.000000
2 0.000000 -0.3333333
3 0.000000 -0.2777778
4 0.000000 -0.2222222
结论:
min=10*x11+15*x12+20*x13+20*x14+40*x15 +20*x21+40*x22+15*x23+30*x24+30*x25+30*x31+35*x32+40*x33+55*x34+25*x35;
x11+x21+x31=25;
x12+x22+x32=95;
x13+x23+x33=60;
x14+x24+x34=30;
x15+x25+x35=70;
x11+x12+x13+x14+x15