📄 exam0704.ltx
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! Assignment model
! Maximize valve of assignments
max 20x11 + 15x12 + 16x13 + 5x14 + 4x15 + 7x16
+ 17x21 + 15x22 + 33x23 + 12x24 + 8x25 + 6x26
+ 9x31 + 12x32 + 18x33 + 16x34 + 30x35 + 13x36
+ 12x41 + 8x42 + 11x43 + 27x44 + 19x45 + 14x46
- 99x51 + 7x52 + 10x53 + 21x54 + 10x55 + 32x56
- 99x61 - 99x62 - 99x63 + 6x64 + 11x65 + 13x66
subject to
! Each person must be assigned to some job
x11 + x12 + x13 + x14 + x15 + x16 = 1
x21 + x22 + x23 + x24 + x25 + x26 = 1
x31 + x32 + x33 + x34 + x35 + x36 = 1
x41 + x42 + x43 + x44 + x45 + x46 = 1
x51 + x52 + x53 + x54 + x55 + x56 = 1
x61 + x62 + x63 + x64 + x65 + x66 = 1
! Each job must receive an assignment
x11 + x21 + x31 + x41 + x51 + x61 = 1
x12 + x22 + x32 + x42 + x52 + x62 = 1
x13 + x23 + x33 + x43 + x53 + x63 = 1
x14 + x24 + x34 + x44 + x54 + x64 = 1
x15 + x25 + x35 + x45 + x55 + x65 = 1
x16 + x26 + x36 + x46 + x56 + x66 = 1
end
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