Summer Sports Camp at State University

...

W1>=115

X1+Y1=115

W2>=210

X2+Y2=210

W3+0.8X1>=250

X3+Y3=250

W4+0.8X2+0.8Y1>=230

X4+Y4=230

W5+0.8X3+0.8Y2>=260

X5+Y5=260

W6+0.8X4+0.8Y3>=300

X6=300

W7+0.8X5+0.8Y4>=250

W8+0.8X6+0.8Y5>=190

END

GIN W1

GIN W2

GIN W3

GIN W4

GIN W5

GIN W6

GIN W7

GIN W8

GIN X1

GIN X2

GIN X3

GIN X4

GIN X5

GIN X6

GIN Y1

GIN Y2

GIN Y3

GIN Y4

GIN Y5

Output :

LP OPTIMUM FOUND AT STEP 88

OBJECTIVE VALUE = 11940.0000

FIX ALL VARS.( 2) WITH RC > 2.50000

SET W5 TO

SET Y4 TO

SET W7 TO >= 1 AT 3, BND= -0.1194E+05 TWIN=-0.1000E+31 108

SET W7 TO

SET X1 TO

SET X2 TO

SET Y5 TO

SET Y4 TO >= 52 AT 8, BND= -0.1195E+05 TWIN=-0.1000E+31 109

DELETE Y4 AT LEVEL 8

DELETE Y5 AT LEVEL 7

DELETE X2 AT LEVEL 6

DELETE X1 AT LEVEL 5

DELETE W7 AT LEVEL 4

DELETE W7 AT LEVEL 3

DELETE Y4 AT LEVEL 2

FLIP W5 TO >= 51 AT 1 WITH BND= -11943.500

SET W7 TO

SET X5 TO

SET W5 TO >= 52 AT 4, BND= -0.1195E+05 TWIN=-0.1000E+31 114

NEW INTEGER SOLUTION OF 11946.0000 AT BRANCH 26 PIVOT 114

BOUND ON OPTIMUM: 11943.50

DELETE W5 AT LEVEL 4

FLIP X5 TO >= 260 AT 3 WITH BND= -11943.500

SET W5 TO

SET X1 TO

SET W4 TO >= 138 AT 6, BND= -0.1194E+05 TWIN=-0.1000E+31 119

DELETE W4 AT LEVEL 6

DELETE X1 AT LEVEL 5

DELETE W5 AT LEVEL 4

DELETE X5 AT LEVEL 3

DELETE W7 AT LEVEL 2

DELETE W5 AT LEVEL 1

ENUMERATION COMPLETE. BRANCHES= 27 PIVOTS= 119

LAST INTEGER SOLUTION IS THE BEST FOUND

RE-INSTALLING BEST SOLUTION...

OBJECTIVE FUNCTION VALUE

1) 11946.00

VARIABLE VALUE REDUCED COST

W1 115.000000 10.000000

W2 210.000000 10.000000

W3 250.000000 10.000000

W4 138.000000 10.000000

W5 52.000000 10.000000

W6 0.000000 10.000000

W7 0.000000 10.000000

W8 0.000000 10.000000

X1 0.000000 4.000000

X2 0.000000 4.000000

X3 50.000000 4.000000

X4 175.000000 4.000000

X5 258.000000 4.000000

X6 300.000000 4.000000

Y1 115.000000 2.000000

Y2 210.000000 2.000000

Y3 200.000000 2.000000

Y4 55.000000 2.000000

Y5 2.000000 2.000000

ROW SLACK OR SURPLUS DUAL PRICES

2) 0.000000 0.000000

3) 0.000000 0.000000

4) 0.000000 0.000000

5) 0.000000 0.000000

6) 0.000000 0.000000

7) 0.000000 0.000000

8) 0.000001 0.000000

9) 0.000000 0.000000

10) 0.000003 0.000000

11) 0.000000 0.000000

12) 0.000004 0.000000

13) 0.000000 0.000000

14)