\ 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 + [ 12 x1 * x18 + 12 x1 * x19 + 12 x1 * x20 + 12 x1 * x21 + 12 x1 * x22 + 12 x2 * x23 + 12 x2 * x24 + 12 x2 * x25 + 12 x2 * x26 + 12 x2 * x27 + 12 x3 * x28 + 12 x3 * x29 + 12 x3 * x30 + 12 x3 * x31 + 12 x3 * x32 + 32 x4 * x18 + 32 x4 * x19 + 32 x4 * x20 + 32 x4 * x21 + 32 x4 * x22 + 32 x5 * x23 + 32 x5 * x24 + 32 x5 * x25 + 32 x5 * x26 + 32 x5 * x27 + 32 x6 * x28 + 32 x6 * x29 + 32 x6 * x30 + 32 x6 * x31 + 32 x6 * x32 + 30 x7 * x18 + 30 x7 * x19 + 30 x7 * x20 + 30 x7 * x21 + 30 x7 * x22 + 30 x8 * x23 + 30 x8 * x24 + 30 x8 * x25 + 30 x8 * x26 + 30 x8 * x27 + 30 x9 * x28 + 30 x9 * x29 + 30 x9 * x30 + 30 x9 * x31 + 30 x9 * x32 + 24 x10 * x18 + 24 x10 * x19 + 24 x10 * x20 + 24 x10 * x21 + 24 x10 * x22 + 24 x11 * x23 + 24 x11 * x24 + 24 x11 * x25 + 24 x11 * x26 + 24 x11 * x27 + 24 x12 * x28 + 24 x12 * x29 + 24 x12 * x30 + 24 x12 * x31 + 24 x12 * x32 ]/2 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