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97 lines (78 loc) · 1.54 KB
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max x1 +2 x2 +4 x3 +8 x4 +16 x5
x1 +2 x2 +3 x3 +4 x4 +5 x5 <= 5
7 x1 +5 x2 -3 x3 -2 x4 <= 0
/*
max 2 x1 + 1 x2
5 x1 + 10 x2 <= 25
3 x1 -2 x2 <= 1
x1 + 3 x2 >= 1
x2 <= 2
/*
max 1 x1 +2 x2
-2 x1 -1 x2 <= -3
-1 x1 +3 x2 <= 24
1 x1 -1 x2 <= 6
2 x1 +1 x2 <= 29
/*
min -3 x1 24 x2 6 x3 29 x4
-2 x1 -1 x2 1 x3 2 x4 >= 1
-1 x1 3 x2 1 x3 1 x4 >= 2
max 6 x1 + 8 x2
5 x1 + 10 x2 <= 60
4 x1 + 4 x2 <= 40
/*
max 2 x1 + 3 x2
x1 + x2 <= 4
x1 <= 3
x1 + 2 x2 <= 6
/*
max 19 x1 + 13 x2 + 12 x3 + 17 x4
3 x1 + 2 x2 + x3 + 2 x4 <= 225
x1 + x2 + x3 + x4 <= 117
4 x1 + 3 x2 + 3 x3 + 4 x4 <= 420
/*
min 3 x1 + 2 x2 − 4 x3
2 x1 + x2 + x3 >= 3
x1 + x2 + 2 x3 <= 5
/*
max 2 x1 + 3 x2
x1 + x2 <= 4
x1 <= 3
x1 + 2 x2 <= 6
/*
max -1 x1 - 1 x2
-2 x1 - 1 x2 <= 4
-2 x1 + 4 x2 <= -8
-1 x1 + 3 x2 <= -7
/*
max 19 x1 + 13 x2 + 12 x3 + 17 x4
3 x1 + 2 x2 + 1 x3 + 2 x4 <= 225
1 x1 + 1 x2 + 1 x3 + 1 x4 <= 117
4 x1 + 3 x2 + 3 x3 + 4 x4 <= 420
/*
max -1 x1 - 1 x2
-2 x1 - 1 x2 <= 4
-2 x1 + 4 x2 <= -8
-1 x1 + 3 x2 <= -7
/*
min 4 x1 -8 x2 -7 x3
-2 x1 -2 x2 -1 x3 >= -1
-1 x1 + 4 x2 + 3 x3 >= -1
/*
max 19 x1 + 13 x2 + 12 x3 + 17 x4
3 x1 + 2 x2 + 1 x3 + 2 x4 <= 225
1 x1 + 1 x2 + 1 x3 + 1 x4 <= 117
4 x1 + 3 x2 + 3 x3 + 4 x4 <= 420
// 2. Sensativity analysis
/*
min 5 x1 + 4 x2
4 x1 + 3 x2 >= 4
2 x1 + 1 x2 >= 3
1 x1 + 2 x2 >= 1
1 x1 + 1 x2 >= 2
/*
// 1. simplex (task 3-b)
max x1 + 5 x2
-1 x1 + 3 x2 <= 6
-4 x1 + -4 x2 <= -5
x1 <= 2