\ Equation counts \ Total E G L N X C B \ 19 3 0 16 0 0 0 0 \ \ Variable counts \ x b i s1s s2s sc si \ Total cont binary integer sos1 sos2 scont sint \ 32 32 0 0 0 0 0 0 \ \ Nonzero counts \ Total const NL DLL \ 238 43 195 0 \ Minimize obj: 0 x1 + 0 x2 + 0 x3 + 0 x4 + 0 x5 + 0 x6 + 0 x7 + 0 x8 + 0 x9 + 0 x10 + 0 x11 + 0 x12 - 8 x13 - 5 x14 - 9 x15 - 6 x16 - 4 x17 - 18 x18 - 15 x19 - 19 x20 - 16 x21 - 14 x22 - 18 x23 - 15 x24 - 19 x25 - 16 x26 - 14 x27 - 18 x28 - 15 x29 - 19 x30 - 16 x31 - 14 x32 + 6 x1 x18 + 6 x1 x19 + 6 x1 x20 + 6 x1 x21 + 6 x1 x22 + 6 x2 x23 + 6 x2 x24 + 6 x2 x25 + 6 x2 x26 + 6 x2 x27 + 6 x3 x28 + 6 x3 x29 + 6 x3 x30 + 6 x3 x31 + 6 x3 x32 + 16 x4 x18 + 16 x4 x19 + 16 x4 x20 + 16 x4 x21 + 16 x4 x22 + 16 x5 x23 + 16 x5 x24 + 16 x5 x25 + 16 x5 x26 + 16 x5 x27 + 16 x6 x28 + 16 x6 x29 + 16 x6 x30 + 16 x6 x31 + 16 x6 x32 + 15 x7 x18 + 15 x7 x19 + 15 x7 x20 + 15 x7 x21 + 15 x7 x22 + 15 x8 x23 + 15 x8 x24 + 15 x8 x25 + 15 x8 x26 + 15 x8 x27 + 15 x9 x28 + 15 x9 x29 + 15 x9 x30 + 15 x9 x31 + 15 x9 x32 + 12 x10 x18 + 12 x10 x19 + 12 x10 x20 + 12 x10 x21 + 12 x10 x22 + 12 x11 x23 + 12 x11 x24 + 12 x11 x25 + 12 x11 x26 + 12 x11 x27 + 12 x12 x28 + 12 x12 x29 + 12 x12 x30 + 12 x12 x31 + 12 x12 x32 Subject To e2: x7 x18 + x7 x19 + x7 x20 + x7 x21 + x7 x22 + x8 x23 + x8 x24 + x8 x25 + x8 x26 + x8 x27 + x9 x28 + x9 x29 + x9 x30 + x9 x31 + x9 x32 <= 50 e3: x13 + x18 + x23 + x28 <= 100 e4: x14 + x19 + x24 + x29 <= 200 e5: x15 + x20 + x25 + x30 <= 100 e6: x16 + x21 + x26 + x31 <= 100 e7: x17 + x22 + x27 + x32 <= 100 e8: - .5 x13 - 2.5 x18 - 2.5 x23 - 2.5 x28 + 3 x1 x18 + 3 x2 x23 + 3 x3 x28 + x4 x18 + x5 x23 + x6 x28 + x7 x18 + x8 x23 + x9 x28 + 1.5 x10 x18 + 1.5 x11 x23 + 1.5 x12 x28 <= 0 e9: .5 x13 - 2 x18 - 2 x23 - 2 x28 + x1 x18 + x2 x23 + x3 x28 + 3 x4 x18 + 3 x5 x23 + 3 x6 x28 + 2.5 x7 x18 + 2.5 x8 x23 + 2.5 x9 x28 + 2.5 x10 x18 + 2.5 x11 x23 + 2.5 x12 x28 <= 0 e10: .5 x14 - 1.5 x19 - 1.5 x24 - 1.5 x29 + 3 x1 x19 + 3 x2 x24 + 3 x3 x29 + x4 x19 + x5 x24 + x6 x29 + x7 x19 + x8 x24 + x9 x29 + 1.5 x10 x19 + 1.5 x11 x24 + 1.5 x12 x29 <= 0 e11: - 2.5 x19 - 2.5 x24 - 2.5 x29 + x1 x19 + x2 x24 + x3 x29 + 3 x4 x19 + 3 x5 x24 + 3 x6 x29 + 2.5 x7 x19 + 2.5 x8 x24 + 2.5 x9 x29 + 2.5 x10 x19 + 2.5 x11 x24 + 2.5 x12 x29 <= 0 e12: - 2 x20 - 2 x25 - 2 x30 + 3 x1 x20 + 3 x2 x25 + 3 x3 x30 + x4 x20 + x5 x25 + x6 x30 + x7 x20 + x8 x25 + x9 x30 + 1.5 x10 x20 + 1.5 x11 x25 + 1.5 x12 x30 <= 0 e13: - .1 x15 - 2.6 x20 - 2.6 x25 - 2.6 x30 + x1 x20 + x2 x25 + x3 x30 + 3 x4 x20 + 3 x5 x25 + 3 x6 x30 + 2.5 x7 x20 + 2.5 x8 x25 + 2.5 x9 x30 + 2.5 x10 x20 + 2.5 x11 x25 + 2.5 x12 x30 <= 0 e14: - 2 x21 - 2 x26 - 2 x31 + 3 x1 x21 + 3 x2 x26 + 3 x3 x31 + x4 x21 + x5 x26 + x6 x31 + x7 x21 + x8 x26 + x9 x31 + 1.5 x10 x21 + 1.5 x11 x26 + 1.5 x12 x31 <= 0 e15: .5 x16 - 2 x21 - 2 x26 - 2 x31 + x1 x21 + x2 x26 + x3 x31 + 3 x4 x21 + 3 x5 x26 + 3 x6 x31 + 2.5 x7 x21 + 2.5 x8 x26 + 2.5 x9 x31 + 2.5 x10 x21 + 2.5 x11 x26 + 2.5 x12 x31 <= 0 e16: - 2 x22 - 2 x27 - 2 x32 + 3 x1 x22 + 3 x2 x27 + 3 x3 x32 + x4 x22 + x5 x27 + x6 x32 + x7 x22 + x8 x27 + x9 x32 + 1.5 x10 x22 + 1.5 x11 x27 + 1.5 x12 x32 <= 0 e17: .5 x17 - 2 x22 - 2 x27 - 2 x32 + x1 x22 + x2 x27 + x3 x32 + 3 x4 x22 + 3 x5 x27 + 3 x6 x32 + 2.5 x7 x22 + 2.5 x8 x27 + 2.5 x9 x32 + 2.5 x10 x22 + 2.5 x11 x27 + 2.5 x12 x32 <= 0 e18: x1 + x4 + x7 + x10 = 1 e19: x2 + x5 + x8 + x11 = 1 e20: x3 + x6 + x9 + x12 = 1 Bounds x1 <= 1 x2 <= 1 x3 <= 1 x4 <= 1 x5 <= 1 x6 <= 1 x7 <= 1 x8 <= 1 x9 <= 1 x10 <= 1 x11 <= 1 x12 <= 1 x13 <= 100 x14 <= 200 x15 <= 100 x16 <= 100 x17 <= 100 x18 <= 100 x19 <= 200 x20 <= 100 x21 <= 100 x22 <= 100 x23 <= 100 x24 <= 200 x25 <= 100 x26 <= 100 x27 <= 100 x28 <= 100 x29 <= 200 x30 <= 100 x31 <= 100 x32 <= 100 End