Data file:var.22 Linear Programming Data Screen
Number of constraints (2-99) 32 Number of variables (2-99) 26
minimize
| minimize + 2.6yl + 2.3y4 + 3.2y5 + 3y6 + .6y7 + 3.7y8 + 2.4yl0 + 3.2yll |
| + 1.8yl2 + 2.8yl3 + 1.5yl4 |
| const 1: + 1x1 = 0 |
| const 2: - 1x1 + 1x2 + lyl > 3 |
| const 3: - 1x1 + 1x3 + ly2 > 2 |
| const 4: - 1x1 + 1x4 + ly3 > 4 |
| const 5: - 1x3 + 1x5 + ly5 > 3 |
| const 6: - 1x2 + 1x6 + ly4 > 4 |
| const 7: - 1x5 + 1x6 + ly9 > 2 |
| const 8: - 1x3 + 1x7 + ly7 > 3 |
| const 9: - 1x4 + 1x7 + ly8 > 4 |
| const 10: - 1x3 + 1x8 + ly6 > 4 |
| const 11: - 1x5 + 1x8 + lylO > 3 |
| const 12: - 1x7 + 1x8 + lyll > 4 |
| const 13: - 1x8 + 1x9 + lyl3 > 3 |
| const 14: - 1x7 + 1x10 + lyl2 > 5 |
| const 15: - 1x9 + 1x10 + lyl4 > 3 |
| const 16: - 1x10 + 1x11 + lyl5 > 2 |
| const 17: + 1x11 < 17 |
| const 18: + lyl < 1 |
| const 19: + ly2 < 0 |
| const 20: + ly3 < 0 |
| const 21: + ly4 < 1 |
| const 22: + ly5 < 1 |
| const 23: + ly6 < 1 |
| const 24: + ly7 < 1 |
| const 25: + ly8 < 1 |
| const 26: + ly9 < 0 |
| const 27: + lylO < 1 |
| const 28: + lyll < 1 |
| const 29: + lyl2 < 2 |
| const 30: + lyl3 < 1 |
| сonst 31: + lyl4 < 1 |
| const 32: + lyl5 < 0 |
Приложение 5.
Data file:var.22 Linear Programming Data Screen
Number of constraints (2-99) 32 Number of variables (2-99) 26
minimize
| minimize + 2.6yl + 2.3y4 + 3. 2y5 + 3y6 + . 6y7 + 3.7y8 + 2.4yl0 + 3.2yll + 1.8yl2 + 2.8yl3 + 1.5yl4 |
| const 1 + 1x1 = 0 |
| const 2 - 1x1 + 1x2 + lyl > 3 |
| const 3 - 1x1 + 1x3 + ly2 > 2 |
| const 4 - 1x1 + 1x4 + ly3 > 4 |
| const 5 - 1x3 + 1x5 + ly5 > 3 |
| const 6 - 1x2 + 1x6 + ly4 > 4 |
| const 7 - 1x5 + 1x6 + ly9 > 2 |
| const 8 - 1x3 + 1x7 + ly7 > 3 |
| const 9 - 1x4 + 1x7 + ly8 > 4 |
| const 10 - 1x3 + 1x8 + ly6 > 4 |
| const 11 - 1x5 + 1x8 + lylO > 3 |
| const 12 - 1x7 + 1x8 + lyll > 4 |
| const 13 - 1x8 + 1x9 + lyl3 > 3 |
| const 14 - 1x7 + 1x10 + lyl2 > 5 |
| const 15 - 1x9 + 1x10 + lyl4 > 3 |
| const 16 - 1x10 + 1x11 + lyl5 > 2 |
| const 17 + 1x11 < 16 |
| const 18 + lyl < 1 |
| const 19 + ly2 < 0 |
| const 20 + ly3 < 0 |
| const 21 + ly4 < 1 |
| const 22 + ly5 < 1 const 23 + ly6 < 1const 24 + ly7 < 1const 25 + ly8 < 1const 26 + ly9 < 0 const 27 + lylO < 1 const 28 + lyll < 1const 29 + lyl2 < 2const 30 + lyl3 < 1const 31 + lyl4 < 1const 32 + lyl5 < 0 |
Приложение 5.1.
Data file: var. 22 Linear Programming Solution
Number of constraints (2-99) 32 Number of variables (2-99) 26
minimize
| Solution value =11.2 | Multiple Optimal Solutions Exist | ||||
| Optimal | Reduced | Original | Lower | Upper | |
| Value | Cost | Coeficnt | Limit | Limit | |
| xl | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| x2 | 5.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| x3 | 4.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| x4 | 4.00 | 0.00 | 0.00 | -3.70 | Infinity |
| x5 | 7.00 | 0,00 | 0.00 | 0.00 | 0.00 |
| x6 | 9.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| x7 | 7.00 | 0.00 | 0.00 | —Infinity | 0.50 |
| x8 | 10.00 | 0.00 | 0.00 | —Infinity | .9000001 |
| x9 | 12.00 | 0.00 | 0.00 | ---Infinity | 2.20 |
| xlO | 14.00 | 0.00 | 0.00 | —Infinity | 3.70 |
| xll | 16.00 | 0.00 | 0.00 | —Infinity | 3.70 |
| y12 | 0.00 | 2.60 | 2.60 | 0.00 | Infinity |
| y2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| y3 | 0.00 | 0.00 | 0.00 | —Infinity | 3.70 |
| y4 | 0.00 | 2.30 | 2.30 | 0.00 | Infinity |
| y5 | 0.00 | 3.20 | 3.20 | 0.00 | Infinity |
| y6 | 0.00 | 3.00 | 3.00 | 0.00 | Infinity |
| y7 | 0.00 | 0.60 | 0.60 | 0.00 | Infinity |
| y8 | 1.00 | 0.00 | 3.70 | 3.20 | Infinity |
| y9 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| ylO | 0.00 | 2.40 | 2.40 | 0.00 | Infinity |
| yll | 1.00 | 0.00 | 3.20 | —Infinity | 3.70 |
| yl2 | 0.00 | 1.80 | 1.80 | 0.00 | Infinity |
| yi3 | 1.00 | 0.00 | 2.80 | —Infinity | 3.70 |
| yl4 | 1.00 | 0,00 | 1.50 | —Infinity | 3,70 |
| yl5 | 0.00 | 0.00 | 0.00 | —Infinity | 3,70 |
Приложение 6.
Data file:var.22 Linear Programming Data Screen
Number of constraints (2-99) 18 Number of variables (2-99) 35
maximize
| maximize + 1I |
| const 1: + lal =2.1 |
| const 2: + 1bl =2.1 |
| const 3: + 1cl =2.3 |
| const 4: - 1.06al + la2 + 1dl =2.2 |
| const 5: - 1.06bl + lb2 + le1 =1.9 |
| const 6: – 1.06cl + lc2 - 1.015el + le2 = .1 |
| const 7: + 1.06a2 - la3 + 1.06dl - ld2 =1.1 |
| const 8: + 1.015a3 - la4 + 1.06b2 - lb3 = 1.6 |
| const 9: + 1.015b3 - lb4 + 1.06c2 - lc3 + 1.06e2 - le3 = 1 |
| const 10: + 1.015b4 - lb5 + 1.06d2 - ld3 = .2 |
| const 11: + 1.06a4 - la5 + 1.015b5 - lb6 + 1.035c3 - lc4 = 1.4 |
| const 12: + 1.015c4 - lc5 + 1.035d3 - ld4 + 1.06e3 - le4 =2.4 |
| const 13: + 1.06a5 - la6 + 1.06b6 - lb7 + 1.035d4 - ld5 = 1 |
| const 14: + 1.06c5 - lc6 + 1.06e4 - le5 = 1 |
| const 15: + 1.015e5 - le6 = 1 |
| const 16: + 1.06a6 - la7 + 1.06b7 - lb8 + 1.06d5 - ld6 = 0 |
| const 17: + 1.06c6 - lc7 = 0 |
| const 18: + 1.035a7 + 1.035b8 + 1.015c7 + 1.035d6 + 1.06e6 – 1I = 0 |
Приложение 7.
Data file: var.22 Linear Programming Solution
Number of constraints (2-99) 20 Number of variables (2-99) 40 maximize
| Solution value | = 2.430179 | Multiple Optimal Solutions | Exist | ||
| Optimal | Reduced | Original | Lower | Upper | |
| Value | Cost | Coeficnt | Limit | Limit | |
| a1 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 |
| a2 | 4.426 | 0.00 | 0.00 | 0.00 | 0.00 |
| a3 | 1.749202 | 0.00 | 0.00 | 0.00 | 0.00 |
| a4 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| a5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| a6 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| a7 | 2,292622 | 0.00 | 0.00 | 0.00 | 0,00 |
| b1 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 |
| b2 | 2.75543 | 0,00 | 0.00 | 0.00 | 0.00 |
| b3 | 1.320755 | 0.00 | 0.00 | 0.00 | 0.00 |
| b4 | 0.00 | 0.00 | 0.00 | 0.00 | 0,00 |
| b5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| b6 | 0.00 | 0.00 | 0.00 | 0.00 | 0,00 |
| b7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c1 | 2.30 | 0.00 | 0.00 | 0.00 | 0.00 |
| c2 | 3.92913 | 0.00 | 0.00 | 0.00 | 0.00 |
| c3 | 0.00 | .011285 | 0.00 | -Infinity | 0112849 |
| c4 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c6 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| d1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| d2 | 1.842357 | 0.00 | 0.00 | 0.00 | 0.00 |
| d3 | 1.7529 | 0.00 | 0.00 | 0.00 | 0.00 |
| d4 | .9852217 | 0.00 | 0.00 | 0.00 | 0.00 |
| d5 | 0.00 | .005286 | 0.00 | -Infinity 0 | .005286 |
| d6 | 3.106247 | 0.00 | 0.00 | 0.00 | 0.00 |
| d7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| e1 | 1.370571 | 0.00 | 0.00 | 0.00 | 0.00 |
| e2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| e3 | 4.975301 | 0.00 | 0.00 | 0.00 | 0.00 |
| e4 | 3.873818 | 0.00 | 0.00 | 0.00 | 0.00 |
| e5 | 0.00 | .010043 | 0.00 | -Infinity | 0100435 |
| e6 | .9852217 | 0.00 | 0.00 | 0-00 | 0.00 |
| e7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| e8 | 0.00 | .004704 | 0.00 | -Infinity | 0047045 |
| f1 | 1.872851 | 0.00 | 0.00 | 0.00 | 0.00 |
| f2 | 0.00 | 0.00 | 0,00 | 0.00 | 0.00 |
| f3 | 0.00 | 0.00 | 0,00 | 0.00 | 0.00 |
| I | 2.43018 | 0.00 | 1.00 | 1.00 | 1.00 |
Приложение8.
Data file: Var.22 Linear Programming Solution
Number of constraints (2-99) 18 Number of variables (2-99) 35 maximize
| Solution | value = 2.121788 | Multiple Optimal Solutions Exist | |||
| Optimal | Reduced | Original | Lower | Upper | |
| Value | Cost | Coeficnt | Limit | Limit | |
| al | 2.10 | 0.00 | 0.00 | 0,00 | 0.00 |
| a2 | 4.426 | 0.00 | 0.00 | 0.00 | 0.00 |
| a3 | 1.141323 | 0.00 | 0.00 | 0.00 | 0,00 |
| a4 | 3.932002 | 0.00 | 0.00 | 0.00 | 0.00 |
| a5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| a6 | 1.933997 | 0.00 | 0.00 | 0.00 | 0.00 |
| a7 | 2,050037 | 0.00 | 0.00 | 0.00 | 0.00 |
| b1 | 2.10 | 0.00 | 0.00 | 0.00 | 0.00 |
| b2 | 4.126 | 0.00 | 0.00 | 0.00 | 0.00 |
| b3 | 0.00 | .005687 | 0.00 | -Infinity | 0.005687 |
| b4 | 0.00 | .010806 | 0.00 | -Infinity | .0108058 |
| b5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| b6 | 2.767922 | 0.00 | 0.00 | 0.00 | 0.00 |
| b7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| b8 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c1 | 2,30 | 0.00 | 0.00 | -Infinity | Infinity |
| c2 | 2.538 | 0.00 | 0.00 | 0.00 | 0.00 |
| c3 | 0.00 | .005253 | 0.00 | -Infinity | .0052528 |
| c4 | 0.00 | .005365 | 0.00 | —Infinity | .0053652 |
| c5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c6 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| c7 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| d1 | 0.00 | 0.00 | 0,00 | 0.00 | 0.00 |
| d2 | 2.450237 | 0.00 | 0.00 | 0.00 | 0.00 |
| d3 | 2.397251 | 0.00 | 0.00 | 0.00 | 0.00 |
| d4 | 0.00 | .004955 | 0.00 | —Infinity | .0049555 |
| d5 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| d6 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| e1 | 0.00 | ,006028 | 0.00 | —Infinity | .0060283 |
| e2 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| e3 | 1.69028 | 0.00 | 0.00 | 0.00 | 0.00 |
| e4 | 1.872851 | 0.00 | 0.00 | 0.00 | 0.00 |
| e5 | .9852217 | 0.00 | 0.00 | 0.00 | 0,00 |
| e6 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| I | 2.121788 | 0.00 | 1.00 | 1.00 | 1.00 |