第二问
min 0.7x-0.3y
st
0.05x0+0.076x1+0.153x2+0.434x3+0.224x4+0.06x5+0.106x6+0.351x7+0.281x8+0.309x9+0.339x10+0.067x11+0.033x12+0.323x13+0.049x14+0.074x15-y=0
x0+1.021x1+1.032x2+1.06x3+1.015x4+1.076x5+1.034x6+1.056x7+1.031x8+1.027x9+1.029x10+1.051x11+1.057x12+1.027x13+1.045x14+1.076x15=1
0.42x1-x<0
0.54x2-x<0
0.60x3-x<0
0.42x4-x<0
0.012x5-x<0
0.39x6-x<0
0.68x7-x<0
0.334x8-x<0
0.533x9-x<0
0.40x10-x<0
0.31x11-x<0
0.055x12-x<0
0.46x13-x<0
0.053x14-x<0
0.23x15-x<0
End
LP OPTIMUM FOUND AT STEP 9
OBJECTIVE FUNCTION VALUE
1) -0.4648471E-01
VARIABLE VALUE REDUCED COST
X 0.064288 0.000000
Y 0.304954 0.000000
X0 0.000000 0.031485
X1 0.000000 0.024661
X2 0.000000 0.002072
X3 0.107146 0.000000
X4 0.153066 0.000000
X5 0.000000 0.032018
X6 0.000000 0.016265
X7 0.094541 0.000000
X8 0.192479 0.000000
X9 0.120615 0.000000
X10 0.160720 0.000000
X11 0.000000 0.028755
X12 0.000000 0.039234
X13 0.139756 0.000000
X14 0.000000 0.033877
X15 0.000000 0.027818
LP OPTIMUM FOUND AT STEP 4
OBJECTIVE FUNCTION VALUE
1) -0.1323256E-01
VARIABLE VALUE REDUCED COST
X 0.036729 0.000000
Y 0.213078 0.000000
X0 0.000000 0.003233
X1 0.087449 0.000000
X2 0.068016 0.000000
X3 0.061215 0.000000
X4 0.087449 0.000000
X5 0.000000 0.002238
X6 0.094176 0.000000
X7 0.054013 0.000000
X8 0.109966 0.000000
X9 0.068909 0.000000
X10 0.091822 0.000000
X11 0.000000 0.000507
X12 0.000000 0.007387
X13 0.079845 0.000000
X14 0.000000 0.004028
X15 0.159690 0.000000
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) -0.8300000E-02
VARIABLE VALUE REDUCED COST
X 0.000000 0.000000
Y 0.050000 0.000000
X0 1.000000 0.000000
X1 0.000000 0.000000
X2 0.000000 0.000000
X3 0.000000 0.000000
X4 0.000000 0.000000
X5 0.000000 0.000041
X6 0.000000 0.000000
X7 0.000000 0.000000
X8 0.000000 0.000000
X9 0.000000 0.000000
X10 0.000000 0.000000
X11 0.000000 0.000000
X12 0.000000 0.003295
X13 0.000000 0.000000
X14 0.000000 0.000539
X15 0.000000 0.000000
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) -0.1221703
VARIABLE VALUE REDUCED COST
X 0.076113 0.000000
Y 0.320454 0.000000
X0 0.000000 0.097170
X1 0.000000 0.086736
X2 0.000000 0.049580
X3 0.126855 0.000000
X4 0.000000 0.012003
X5 0.000000 0.101455
X6 0.000000 0.073324
X7 0.111931 0.000000
X8 0.227883 0.000000
X9 0.142801 0.000000
X10 0.190282 0.000000
X11 0.000000 0.094901
X12 0.000000 0.112634
X13 0.165463 0.000000
X14 0.000000 0.103168
X15 0.000000 0.094455
min 0.7x-0.3y
st
0.05x0+0.076x1+0.153x2+0.434x3+0.224x4+0.06x5+0.106x6+0.351x7+0.281x8+0.309x9+0.339x10+0.067x11+0.033x12+0.323x13+0.049x14+0.074x15-y=0
x0+1.021x1+1.032x2+1.06x3+1.015x4+1.076x5+1.034x6+1.056x7+1.031x8+1.027x9+1.029x10+1.051x11+1.057x12+1.027x13+1.045x14+1.076x15=1
0.42x1-x<0
0.54x2-x<0
0.60x3-x<0
0.42x4-x<0
0.012x5-x<0
0.39x6-x<0
0.68x7-x<0
0.334x8-x<0
0.533x9-x<0
0.40x10-x<0
0.31x11-x<0
0.055x12-x<0
0.46x13-x<0
0.053x14-x<0
0.23x15-x<0
End
LP OPTIMUM FOUND AT STEP 9
OBJECTIVE FUNCTION VALUE
1) -0.4648471E-01
VARIABLE VALUE REDUCED COST
X 0.064288 0.000000
Y 0.304954 0.000000
X0 0.000000 0.031485
X1 0.000000 0.024661
X2 0.000000 0.002072
X3 0.107146 0.000000
X4 0.153066 0.000000
X5 0.000000 0.032018
X6 0.000000 0.016265
X7 0.094541 0.000000
X8 0.192479 0.000000
X9 0.120615 0.000000
X10 0.160720 0.000000
X11 0.000000 0.028755
X12 0.000000 0.039234
X13 0.139756 0.000000
X14 0.000000 0.033877
X15 0.000000 0.027818
LP OPTIMUM FOUND AT STEP 4
OBJECTIVE FUNCTION VALUE
1) -0.1323256E-01
VARIABLE VALUE REDUCED COST
X 0.036729 0.000000
Y 0.213078 0.000000
X0 0.000000 0.003233
X1 0.087449 0.000000
X2 0.068016 0.000000
X3 0.061215 0.000000
X4 0.087449 0.000000
X5 0.000000 0.002238
X6 0.094176 0.000000
X7 0.054013 0.000000
X8 0.109966 0.000000
X9 0.068909 0.000000
X10 0.091822 0.000000
X11 0.000000 0.000507
X12 0.000000 0.007387
X13 0.079845 0.000000
X14 0.000000 0.004028
X15 0.159690 0.000000
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) -0.8300000E-02
VARIABLE VALUE REDUCED COST
X 0.000000 0.000000
Y 0.050000 0.000000
X0 1.000000 0.000000
X1 0.000000 0.000000
X2 0.000000 0.000000
X3 0.000000 0.000000
X4 0.000000 0.000000
X5 0.000000 0.000041
X6 0.000000 0.000000
X7 0.000000 0.000000
X8 0.000000 0.000000
X9 0.000000 0.000000
X10 0.000000 0.000000
X11 0.000000 0.000000
X12 0.000000 0.003295
X13 0.000000 0.000000
X14 0.000000 0.000539
X15 0.000000 0.000000
LP OPTIMUM FOUND AT STEP 1
OBJECTIVE FUNCTION VALUE
1) -0.1221703
VARIABLE VALUE REDUCED COST
X 0.076113 0.000000
Y 0.320454 0.000000
X0 0.000000 0.097170
X1 0.000000 0.086736
X2 0.000000 0.049580
X3 0.126855 0.000000
X4 0.000000 0.012003
X5 0.000000 0.101455
X6 0.000000 0.073324
X7 0.111931 0.000000
X8 0.227883 0.000000
X9 0.142801 0.000000
X10 0.190282 0.000000
X11 0.000000 0.094901
X12 0.000000 0.112634
X13 0.165463 0.000000
X14 0.000000 0.103168
X15 0.000000 0.094455